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Finding the Fourth Proportional to 624.32, 860.64 and 507.68

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Solution

The fourth proportional to 624.32, 860.64 and 507.68 is: 699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.32 : 860.64 = 507.68 : x
  2. Step 2: Convert to fraction form
    624.32/860.64 = 507.68/x
  3. Step 3: Cross multiply
    624.32x = 860.64 × 507.68
  4. Step 4: Simplify right side
    624.32x = 436,929.72
  5. Step 5: Solve for x
    x = 436,929.72/624.32
  6. Step 6: Final answer
    x = 699.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.