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Finding the Fourth Proportional to 506, 753.98 and 451.50

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Solution

The fourth proportional to 506, 753.98 and 451.50 is: 672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 753.98 = 451.50 : x
  2. Step 2: Convert to fraction form
    506/753.98 = 451.50/x
  3. Step 3: Cross multiply
    506x = 753.98 × 451.50
  4. Step 4: Simplify right side
    506x = 340,421.97
  5. Step 5: Solve for x
    x = 340,421.97/506
  6. Step 6: Final answer
    x = 672.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.