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Finding the Fourth Proportional to 534.90, 802.33 and 318.32

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Solution

The fourth proportional to 534.90, 802.33 and 318.32 is: 477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.90 : 802.33 = 318.32 : x
  2. Step 2: Convert to fraction form
    534.90/802.33 = 318.32/x
  3. Step 3: Cross multiply
    534.90x = 802.33 × 318.32
  4. Step 4: Simplify right side
    534.90x = 255,392.08
  5. Step 5: Solve for x
    x = 255,392.08/534.90
  6. Step 6: Final answer
    x = 477.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.