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Finding the Fourth Proportional to 582.71, 802.56 and 538.91

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Solution

The fourth proportional to 582.71, 802.56 and 538.91 is: 742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.71 : 802.56 = 538.91 : x
  2. Step 2: Convert to fraction form
    582.71/802.56 = 538.91/x
  3. Step 3: Cross multiply
    582.71x = 802.56 × 538.91
  4. Step 4: Simplify right side
    582.71x = 432,503.60
  5. Step 5: Solve for x
    x = 432,503.60/582.71
  6. Step 6: Final answer
    x = 742.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.