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Finding the Fourth Proportional to 475.46, 656.13 and 278.93

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Solution

The fourth proportional to 475.46, 656.13 and 278.93 is: 384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.46 : 656.13 = 278.93 : x
  2. Step 2: Convert to fraction form
    475.46/656.13 = 278.93/x
  3. Step 3: Cross multiply
    475.46x = 656.13 × 278.93
  4. Step 4: Simplify right side
    475.46x = 183,011.06
  5. Step 5: Solve for x
    x = 183,011.06/475.46
  6. Step 6: Final answer
    x = 384.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.