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Finding the Fourth Proportional to 651.15, 898.74 and 430.11

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Solution

The fourth proportional to 651.15, 898.74 and 430.11 is: 593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.15 : 898.74 = 430.11 : x
  2. Step 2: Convert to fraction form
    651.15/898.74 = 430.11/x
  3. Step 3: Cross multiply
    651.15x = 898.74 × 430.11
  4. Step 4: Simplify right side
    651.15x = 386,557.06
  5. Step 5: Solve for x
    x = 386,557.06/651.15
  6. Step 6: Final answer
    x = 593.65

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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.