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Finding the Fourth Proportional to 583.77, 803.61 and 531.53

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Solution

The fourth proportional to 583.77, 803.61 and 531.53 is: 731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.77 : 803.61 = 531.53 : x
  2. Step 2: Convert to fraction form
    583.77/803.61 = 531.53/x
  3. Step 3: Cross multiply
    583.77x = 803.61 × 531.53
  4. Step 4: Simplify right side
    583.77x = 427,142.82
  5. Step 5: Solve for x
    x = 427,142.82/583.77
  6. Step 6: Final answer
    x = 731.70

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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.