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Finding the Fourth Proportional to 284.41, 392.95 and 253.05

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Solution

The fourth proportional to 284.41, 392.95 and 253.05 is: 349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.41 : 392.95 = 253.05 : x
  2. Step 2: Convert to fraction form
    284.41/392.95 = 253.05/x
  3. Step 3: Cross multiply
    284.41x = 392.95 × 253.05
  4. Step 4: Simplify right side
    284.41x = 99,434.03
  5. Step 5: Solve for x
    x = 99,434.03/284.41
  6. Step 6: Final answer
    x = 349.62

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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.