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Finding the Fourth Proportional to 475.72, 711.90 and 293.16

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Solution

The fourth proportional to 475.72, 711.90 and 293.16 is: 438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.72 : 711.90 = 293.16 : x
  2. Step 2: Convert to fraction form
    475.72/711.90 = 293.16/x
  3. Step 3: Cross multiply
    475.72x = 711.90 × 293.16
  4. Step 4: Simplify right side
    475.72x = 208,700.60
  5. Step 5: Solve for x
    x = 208,700.60/475.72
  6. Step 6: Final answer
    x = 438.70

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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.