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Finding the Fourth Proportional to 939.59, 1,407.93 and 362.15

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Solution

The fourth proportional to 939.59, 1,407.93 and 362.15 is: 542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.59 : 1,407.93 = 362.15 : x
  2. Step 2: Convert to fraction form
    939.59/1,407.93 = 362.15/x
  3. Step 3: Cross multiply
    939.59x = 1,407.93 × 362.15
  4. Step 4: Simplify right side
    939.59x = 509,874.81
  5. Step 5: Solve for x
    x = 509,874.81/939.59
  6. Step 6: Final answer
    x = 542.66

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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.