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Finding the Fourth Proportional to 631.14, 946.89 and 457.98

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Solution

The fourth proportional to 631.14, 946.89 and 457.98 is: 687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.14 : 946.89 = 457.98 : x
  2. Step 2: Convert to fraction form
    631.14/946.89 = 457.98/x
  3. Step 3: Cross multiply
    631.14x = 946.89 × 457.98
  4. Step 4: Simplify right side
    631.14x = 433,656.68
  5. Step 5: Solve for x
    x = 433,656.68/631.14
  6. Step 6: Final answer
    x = 687.10

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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.