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Finding the Fourth Proportional to 532.14, 798.27 and 202.98

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Solution

The fourth proportional to 532.14, 798.27 and 202.98 is: 304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.14 : 798.27 = 202.98 : x
  2. Step 2: Convert to fraction form
    532.14/798.27 = 202.98/x
  3. Step 3: Cross multiply
    532.14x = 798.27 × 202.98
  4. Step 4: Simplify right side
    532.14x = 162,028.85
  5. Step 5: Solve for x
    x = 162,028.85/532.14
  6. Step 6: Final answer
    x = 304.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.