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Finding the Fourth Proportional to 532.31, 797.33 and 470.81

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Solution

The fourth proportional to 532.31, 797.33 and 470.81 is: 705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.31 : 797.33 = 470.81 : x
  2. Step 2: Convert to fraction form
    532.31/797.33 = 470.81/x
  3. Step 3: Cross multiply
    532.31x = 797.33 × 470.81
  4. Step 4: Simplify right side
    532.31x = 375,394.11
  5. Step 5: Solve for x
    x = 375,394.11/532.31
  6. Step 6: Final answer
    x = 705.22

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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.