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Finding the Fourth Proportional to 631.42, 870.76 and 445.07

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Solution

The fourth proportional to 631.42, 870.76 and 445.07 is: 613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.42 : 870.76 = 445.07 : x
  2. Step 2: Convert to fraction form
    631.42/870.76 = 445.07/x
  3. Step 3: Cross multiply
    631.42x = 870.76 × 445.07
  4. Step 4: Simplify right side
    631.42x = 387,545.36
  5. Step 5: Solve for x
    x = 387,545.36/631.42
  6. Step 6: Final answer
    x = 613.77

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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.