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Finding the Fourth Proportional to 624.82, 861.34 and 437.72

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Solution

The fourth proportional to 624.82, 861.34 and 437.72 is: 603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.82 : 861.34 = 437.72 : x
  2. Step 2: Convert to fraction form
    624.82/861.34 = 437.72/x
  3. Step 3: Cross multiply
    624.82x = 861.34 × 437.72
  4. Step 4: Simplify right side
    624.82x = 377,025.74
  5. Step 5: Solve for x
    x = 377,025.74/624.82
  6. Step 6: Final answer
    x = 603.41

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1.5x scale

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.