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Finding the Fourth Proportional to 285.54, 424.86 and 284.54

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Solution

The fourth proportional to 285.54, 424.86 and 284.54 is: 423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.54 : 424.86 = 284.54 : x
  2. Step 2: Convert to fraction form
    285.54/424.86 = 284.54/x
  3. Step 3: Cross multiply
    285.54x = 424.86 × 284.54
  4. Step 4: Simplify right side
    285.54x = 120,888.24
  5. Step 5: Solve for x
    x = 120,888.24/285.54
  6. Step 6: Final answer
    x = 423.37

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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.