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Finding the Fourth Proportional to 631.83, 945.52 and 500.67

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Solution

The fourth proportional to 631.83, 945.52 and 500.67 is: 749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.83 : 945.52 = 500.67 : x
  2. Step 2: Convert to fraction form
    631.83/945.52 = 500.67/x
  3. Step 3: Cross multiply
    631.83x = 945.52 × 500.67
  4. Step 4: Simplify right side
    631.83x = 473,393.50
  5. Step 5: Solve for x
    x = 473,393.50/631.83
  6. Step 6: Final answer
    x = 749.24

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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.