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Finding the Fourth Proportional to 476.08, 656.84 and 292.08

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Solution

The fourth proportional to 476.08, 656.84 and 292.08 is: 402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.08 : 656.84 = 292.08 : x
  2. Step 2: Convert to fraction form
    476.08/656.84 = 292.08/x
  3. Step 3: Cross multiply
    476.08x = 656.84 × 292.08
  4. Step 4: Simplify right side
    476.08x = 191,849.83
  5. Step 5: Solve for x
    x = 191,849.83/476.08
  6. Step 6: Final answer
    x = 402.98

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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.