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Finding the Fourth Proportional to 607.02, 910.26 and 542.76

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Solution

The fourth proportional to 607.02, 910.26 and 542.76 is: 813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.02 : 910.26 = 542.76 : x
  2. Step 2: Convert to fraction form
    607.02/910.26 = 542.76/x
  3. Step 3: Cross multiply
    607.02x = 910.26 × 542.76
  4. Step 4: Simplify right side
    607.02x = 494,052.72
  5. Step 5: Solve for x
    x = 494,052.72/607.02
  6. Step 6: Final answer
    x = 813.90

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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.