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Finding the Fourth Proportional to 600.72, 895.90 and 542.40

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Solution

The fourth proportional to 600.72, 895.90 and 542.40 is: 808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.72 : 895.90 = 542.40 : x
  2. Step 2: Convert to fraction form
    600.72/895.90 = 542.40/x
  3. Step 3: Cross multiply
    600.72x = 895.90 × 542.40
  4. Step 4: Simplify right side
    600.72x = 485,936.16
  5. Step 5: Solve for x
    x = 485,936.16/600.72
  6. Step 6: Final answer
    x = 808.92

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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.