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Finding the Fourth Proportional to 623.66, 859.82 and 457.88

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Solution

The fourth proportional to 623.66, 859.82 and 457.88 is: 631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.66 : 859.82 = 457.88 : x
  2. Step 2: Convert to fraction form
    623.66/859.82 = 457.88/x
  3. Step 3: Cross multiply
    623.66x = 859.82 × 457.88
  4. Step 4: Simplify right side
    623.66x = 393,687.79
  5. Step 5: Solve for x
    x = 393,687.79/623.66
  6. Step 6: Final answer
    x = 631.26

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