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Finding the Fourth Proportional to 532.41, 797.27 and 358.89

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Solution

The fourth proportional to 532.41, 797.27 and 358.89 is: 537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.41 : 797.27 = 358.89 : x
  2. Step 2: Convert to fraction form
    532.41/797.27 = 358.89/x
  3. Step 3: Cross multiply
    532.41x = 797.27 × 358.89
  4. Step 4: Simplify right side
    532.41x = 286,130.44
  5. Step 5: Solve for x
    x = 286,130.44/532.41
  6. Step 6: Final answer
    x = 537.42

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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.