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Finding the Fourth Proportional to 561.85, 841.47 and 542.38

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Solution

The fourth proportional to 561.85, 841.47 and 542.38 is: 812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.85 : 841.47 = 542.38 : x
  2. Step 2: Convert to fraction form
    561.85/841.47 = 542.38/x
  3. Step 3: Cross multiply
    561.85x = 841.47 × 542.38
  4. Step 4: Simplify right side
    561.85x = 456,399.40
  5. Step 5: Solve for x
    x = 456,399.40/561.85
  6. Step 6: Final answer
    x = 812.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.