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Finding the Fourth Proportional to 637.84, 956.31 and 364.06

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Solution

The fourth proportional to 637.84, 956.31 and 364.06 is: 545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.84 : 956.31 = 364.06 : x
  2. Step 2: Convert to fraction form
    637.84/956.31 = 364.06/x
  3. Step 3: Cross multiply
    637.84x = 956.31 × 364.06
  4. Step 4: Simplify right side
    637.84x = 348,154.22
  5. Step 5: Solve for x
    x = 348,154.22/637.84
  6. Step 6: Final answer
    x = 545.83

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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.