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Finding the Fourth Proportional to 536.60, 802.18 and 531.20

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Solution

The fourth proportional to 536.60, 802.18 and 531.20 is: 794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.60 : 802.18 = 531.20 : x
  2. Step 2: Convert to fraction form
    536.60/802.18 = 531.20/x
  3. Step 3: Cross multiply
    536.60x = 802.18 × 531.20
  4. Step 4: Simplify right side
    536.60x = 426,118.02
  5. Step 5: Solve for x
    x = 426,118.02/536.60
  6. Step 6: Final answer
    x = 794.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.