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Finding the Fourth Proportional to 624.10, 934.98 and 522.04

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Solution

The fourth proportional to 624.10, 934.98 and 522.04 is: 782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.10 : 934.98 = 522.04 : x
  2. Step 2: Convert to fraction form
    624.10/934.98 = 522.04/x
  3. Step 3: Cross multiply
    624.10x = 934.98 × 522.04
  4. Step 4: Simplify right side
    624.10x = 488,096.96
  5. Step 5: Solve for x
    x = 488,096.96/624.10
  6. Step 6: Final answer
    x = 782.08

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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.