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Finding the Fourth Proportional to 319.04, 476.01 and 284.41

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Solution

The fourth proportional to 319.04, 476.01 and 284.41 is: 424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.04 : 476.01 = 284.41 : x
  2. Step 2: Convert to fraction form
    319.04/476.01 = 284.41/x
  3. Step 3: Cross multiply
    319.04x = 476.01 × 284.41
  4. Step 4: Simplify right side
    319.04x = 135,382.60
  5. Step 5: Solve for x
    x = 135,382.60/319.04
  6. Step 6: Final answer
    x = 424.35

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Why These Related Problems?

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