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Finding the Fourth Proportional to 637.59, 956.81 and 349.23

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Solution

The fourth proportional to 637.59, 956.81 and 349.23 is: 524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.59 : 956.81 = 349.23 : x
  2. Step 2: Convert to fraction form
    637.59/956.81 = 349.23/x
  3. Step 3: Cross multiply
    637.59x = 956.81 × 349.23
  4. Step 4: Simplify right side
    637.59x = 334,145.01
  5. Step 5: Solve for x
    x = 334,145.01/637.59
  6. Step 6: Final answer
    x = 524.08

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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.