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Finding the Fourth Proportional to 546.74, 814.93 and 542.50

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Solution

The fourth proportional to 546.74, 814.93 and 542.50 is: 808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.74 : 814.93 = 542.50 : x
  2. Step 2: Convert to fraction form
    546.74/814.93 = 542.50/x
  3. Step 3: Cross multiply
    546.74x = 814.93 × 542.50
  4. Step 4: Simplify right side
    546.74x = 442,095.45
  5. Step 5: Solve for x
    x = 442,095.45/546.74
  6. Step 6: Final answer
    x = 808.60

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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.