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Finding the Fourth Proportional to 651.18, 898.44 and 415.20

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Solution

The fourth proportional to 651.18, 898.44 and 415.20 is: 572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.18 : 898.44 = 415.20 : x
  2. Step 2: Convert to fraction form
    651.18/898.44 = 415.20/x
  3. Step 3: Cross multiply
    651.18x = 898.44 × 415.20
  4. Step 4: Simplify right side
    651.18x = 373,032.29
  5. Step 5: Solve for x
    x = 373,032.29/651.18
  6. Step 6: Final answer
    x = 572.86

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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.