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Finding the Fourth Proportional to 631.25, 946.53 and 339.10

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Solution

The fourth proportional to 631.25, 946.53 and 339.10 is: 508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.25 : 946.53 = 339.10 : x
  2. Step 2: Convert to fraction form
    631.25/946.53 = 339.10/x
  3. Step 3: Cross multiply
    631.25x = 946.53 × 339.10
  4. Step 4: Simplify right side
    631.25x = 320,965.96
  5. Step 5: Solve for x
    x = 320,965.96/631.25
  6. Step 6: Final answer
    x = 508.46

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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.