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Finding the Fourth Proportional to 542.04, 813.90 and 461.40

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Solution

The fourth proportional to 542.04, 813.90 and 461.40 is: 692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.04 : 813.90 = 461.40 : x
  2. Step 2: Convert to fraction form
    542.04/813.90 = 461.40/x
  3. Step 3: Cross multiply
    542.04x = 813.90 × 461.40
  4. Step 4: Simplify right side
    542.04x = 375,533.46
  5. Step 5: Solve for x
    x = 375,533.46/542.04
  6. Step 6: Final answer
    x = 692.82

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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.