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Finding the Fourth Proportional to 534.77, 802.16 and 291.77

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Solution

The fourth proportional to 534.77, 802.16 and 291.77 is: 437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.77 : 802.16 = 291.77 : x
  2. Step 2: Convert to fraction form
    534.77/802.16 = 291.77/x
  3. Step 3: Cross multiply
    534.77x = 802.16 × 291.77
  4. Step 4: Simplify right side
    534.77x = 234,044.76
  5. Step 5: Solve for x
    x = 234,044.76/534.77
  6. Step 6: Final answer
    x = 437.66

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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.