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Finding the Fourth Proportional to 534.16, 802.47 and 317.89

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Solution

The fourth proportional to 534.16, 802.47 and 317.89 is: 477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.16 : 802.47 = 317.89 : x
  2. Step 2: Convert to fraction form
    534.16/802.47 = 317.89/x
  3. Step 3: Cross multiply
    534.16x = 802.47 × 317.89
  4. Step 4: Simplify right side
    534.16x = 255,097.19
  5. Step 5: Solve for x
    x = 255,097.19/534.16
  6. Step 6: Final answer
    x = 477.57

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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.