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Finding the Fourth Proportional to 284.63, 423.87 and 278.55

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Solution

The fourth proportional to 284.63, 423.87 and 278.55 is: 414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.63 : 423.87 = 278.55 : x
  2. Step 2: Convert to fraction form
    284.63/423.87 = 278.55/x
  3. Step 3: Cross multiply
    284.63x = 423.87 × 278.55
  4. Step 4: Simplify right side
    284.63x = 118,068.99
  5. Step 5: Solve for x
    x = 118,068.99/284.63
  6. Step 6: Final answer
    x = 414.82

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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.