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Finding the Fourth Proportional to 454.56, 678.88 and 392.38

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Solution

The fourth proportional to 454.56, 678.88 and 392.38 is: 586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.56 : 678.88 = 392.38 : x
  2. Step 2: Convert to fraction form
    454.56/678.88 = 392.38/x
  3. Step 3: Cross multiply
    454.56x = 678.88 × 392.38
  4. Step 4: Simplify right side
    454.56x = 266,378.93
  5. Step 5: Solve for x
    x = 266,378.93/454.56
  6. Step 6: Final answer
    x = 586.01

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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.