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Finding the Fourth Proportional to 532.06, 798.09 and 315.52

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Solution

The fourth proportional to 532.06, 798.09 and 315.52 is: 473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.06 : 798.09 = 315.52 : x
  2. Step 2: Convert to fraction form
    532.06/798.09 = 315.52/x
  3. Step 3: Cross multiply
    532.06x = 798.09 × 315.52
  4. Step 4: Simplify right side
    532.06x = 251,813.36
  5. Step 5: Solve for x
    x = 251,813.36/532.06
  6. Step 6: Final answer
    x = 473.28

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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.