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Finding the Fourth Proportional to 623.83, 860.55 and 476.20

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Solution

The fourth proportional to 623.83, 860.55 and 476.20 is: 656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.83 : 860.55 = 476.20 : x
  2. Step 2: Convert to fraction form
    623.83/860.55 = 476.20/x
  3. Step 3: Cross multiply
    623.83x = 860.55 × 476.20
  4. Step 4: Simplify right side
    623.83x = 409,793.91
  5. Step 5: Solve for x
    x = 409,793.91/623.83
  6. Step 6: Final answer
    x = 656.90

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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.