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Finding the Fourth Proportional to 631.60, 946.35 and 448.66

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Solution

The fourth proportional to 631.60, 946.35 and 448.66 is: 672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.60 : 946.35 = 448.66 : x
  2. Step 2: Convert to fraction form
    631.60/946.35 = 448.66/x
  3. Step 3: Cross multiply
    631.60x = 946.35 × 448.66
  4. Step 4: Simplify right side
    631.60x = 424,589.39
  5. Step 5: Solve for x
    x = 424,589.39/631.60
  6. Step 6: Final answer
    x = 672.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.