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Finding the Fourth Proportional to 580.02, 865.42 and 545

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Solution

The fourth proportional to 580.02, 865.42 and 545 is: 813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.02 : 865.42 = 545 : x
  2. Step 2: Convert to fraction form
    580.02/865.42 = 545/x
  3. Step 3: Cross multiply
    580.02x = 865.42 × 545
  4. Step 4: Simplify right side
    580.02x = 471,653.90
  5. Step 5: Solve for x
    x = 471,653.90/580.02
  6. Step 6: Final answer
    x = 813.17

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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.