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Finding the Fourth Proportional to 758.08, 1,137.36 and 416

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Solution

The fourth proportional to 758.08, 1,137.36 and 416 is: 624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.08 : 1,137.36 = 416 : x
  2. Step 2: Convert to fraction form
    758.08/1,137.36 = 416/x
  3. Step 3: Cross multiply
    758.08x = 1,137.36 × 416
  4. Step 4: Simplify right side
    758.08x = 473,141.76
  5. Step 5: Solve for x
    x = 473,141.76/758.08
  6. Step 6: Final answer
    x = 624.13

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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.