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Finding the Fourth Proportional to 532.40, 798.63 and 301.11

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Solution

The fourth proportional to 532.40, 798.63 and 301.11 is: 451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.40 : 798.63 = 301.11 : x
  2. Step 2: Convert to fraction form
    532.40/798.63 = 301.11/x
  3. Step 3: Cross multiply
    532.40x = 798.63 × 301.11
  4. Step 4: Simplify right side
    532.40x = 240,475.48
  5. Step 5: Solve for x
    x = 240,475.48/532.40
  6. Step 6: Final answer
    x = 451.69

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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.