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Finding the Fourth Proportional to 534.57, 802.30 and 530.52

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Solution

The fourth proportional to 534.57, 802.30 and 530.52 is: 796.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.57 : 802.30 = 530.52 : x
  2. Step 2: Convert to fraction form
    534.57/802.30 = 530.52/x
  3. Step 3: Cross multiply
    534.57x = 802.30 × 530.52
  4. Step 4: Simplify right side
    534.57x = 425,636.20
  5. Step 5: Solve for x
    x = 425,636.20/534.57
  6. Step 6: Final answer
    x = 796.22

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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.