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Finding the Fourth Proportional to 580.16, 865.24 and 562.40

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Solution

The fourth proportional to 580.16, 865.24 and 562.40 is: 838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.16 : 865.24 = 562.40 : x
  2. Step 2: Convert to fraction form
    580.16/865.24 = 562.40/x
  3. Step 3: Cross multiply
    580.16x = 865.24 × 562.40
  4. Step 4: Simplify right side
    580.16x = 486,610.98
  5. Step 5: Solve for x
    x = 486,610.98/580.16
  6. Step 6: Final answer
    x = 838.75

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Why These Related Problems?

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