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Finding the Fourth Proportional to 651.10, 898.62 and 415.15

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Solution

The fourth proportional to 651.10, 898.62 and 415.15 is: 572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.10 : 898.62 = 415.15 : x
  2. Step 2: Convert to fraction form
    651.10/898.62 = 415.15/x
  3. Step 3: Cross multiply
    651.10x = 898.62 × 415.15
  4. Step 4: Simplify right side
    651.10x = 373,062.09
  5. Step 5: Solve for x
    x = 373,062.09/651.10
  6. Step 6: Final answer
    x = 572.97

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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.