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Finding the Fourth Proportional to 591.60, 812.73 and 530.24

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Solution

The fourth proportional to 591.60, 812.73 and 530.24 is: 728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.60 : 812.73 = 530.24 : x
  2. Step 2: Convert to fraction form
    591.60/812.73 = 530.24/x
  3. Step 3: Cross multiply
    591.60x = 812.73 × 530.24
  4. Step 4: Simplify right side
    591.60x = 430,941.96
  5. Step 5: Solve for x
    x = 430,941.96/591.60
  6. Step 6: Final answer
    x = 728.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.