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Finding the Fourth Proportional to 424.44, 586.44 and 417.96

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Solution

The fourth proportional to 424.44, 586.44 and 417.96 is: 577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.44 : 586.44 = 417.96 : x
  2. Step 2: Convert to fraction form
    424.44/586.44 = 417.96/x
  3. Step 3: Cross multiply
    424.44x = 586.44 × 417.96
  4. Step 4: Simplify right side
    424.44x = 245,108.46
  5. Step 5: Solve for x
    x = 245,108.46/424.44
  6. Step 6: Final answer
    x = 577.49

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