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Finding the Fourth Proportional to 624.56, 934.98 and 462.36

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Solution

The fourth proportional to 624.56, 934.98 and 462.36 is: 692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.56 : 934.98 = 462.36 : x
  2. Step 2: Convert to fraction form
    624.56/934.98 = 462.36/x
  3. Step 3: Cross multiply
    624.56x = 934.98 × 462.36
  4. Step 4: Simplify right side
    624.56x = 432,297.35
  5. Step 5: Solve for x
    x = 432,297.35/624.56
  6. Step 6: Final answer
    x = 692.16

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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.