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Finding the Fourth Proportional to 651.25, 898.74 and 430.57

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Solution

The fourth proportional to 651.25, 898.74 and 430.57 is: 594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.25 : 898.74 = 430.57 : x
  2. Step 2: Convert to fraction form
    651.25/898.74 = 430.57/x
  3. Step 3: Cross multiply
    651.25x = 898.74 × 430.57
  4. Step 4: Simplify right side
    651.25x = 386,970.48
  5. Step 5: Solve for x
    x = 386,970.48/651.25
  6. Step 6: Final answer
    x = 594.20

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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.