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Finding the Fourth Proportional to 934.74, 1,402.65 and 358.02

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Solution

The fourth proportional to 934.74, 1,402.65 and 358.02 is: 537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.74 : 1,402.65 = 358.02 : x
  2. Step 2: Convert to fraction form
    934.74/1,402.65 = 358.02/x
  3. Step 3: Cross multiply
    934.74x = 1,402.65 × 358.02
  4. Step 4: Simplify right side
    934.74x = 502,176.75
  5. Step 5: Solve for x
    x = 502,176.75/934.74
  6. Step 6: Final answer
    x = 537.24

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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.