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Finding the Fourth Proportional to 534.08, 802.24 and 462.72

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Solution

The fourth proportional to 534.08, 802.24 and 462.72 is: 695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.08 : 802.24 = 462.72 : x
  2. Step 2: Convert to fraction form
    534.08/802.24 = 462.72/x
  3. Step 3: Cross multiply
    534.08x = 802.24 × 462.72
  4. Step 4: Simplify right side
    534.08x = 371,212.49
  5. Step 5: Solve for x
    x = 371,212.49/534.08
  6. Step 6: Final answer
    x = 695.05

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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.