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Finding the Fourth Proportional to 624.07, 932.56 and 466.88

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Solution

The fourth proportional to 624.07, 932.56 and 466.88 is: 697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.07 : 932.56 = 466.88 : x
  2. Step 2: Convert to fraction form
    624.07/932.56 = 466.88/x
  3. Step 3: Cross multiply
    624.07x = 932.56 × 466.88
  4. Step 4: Simplify right side
    624.07x = 435,395.65
  5. Step 5: Solve for x
    x = 435,395.65/624.07
  6. Step 6: Final answer
    x = 697.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.