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Finding the Fourth Proportional to 581.53, 802.59 and 532.32

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Solution

The fourth proportional to 581.53, 802.59 and 532.32 is: 734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.53 : 802.59 = 532.32 : x
  2. Step 2: Convert to fraction form
    581.53/802.59 = 532.32/x
  3. Step 3: Cross multiply
    581.53x = 802.59 × 532.32
  4. Step 4: Simplify right side
    581.53x = 427,237.21
  5. Step 5: Solve for x
    x = 427,237.21/581.53
  6. Step 6: Final answer
    x = 734.68

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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.