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Finding the Fourth Proportional to 690.58, 952.68 and 542.98

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Solution

The fourth proportional to 690.58, 952.68 and 542.98 is: 749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.58 : 952.68 = 542.98 : x
  2. Step 2: Convert to fraction form
    690.58/952.68 = 542.98/x
  3. Step 3: Cross multiply
    690.58x = 952.68 × 542.98
  4. Step 4: Simplify right side
    690.58x = 517,286.19
  5. Step 5: Solve for x
    x = 517,286.19/690.58
  6. Step 6: Final answer
    x = 749.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.