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Finding the Fourth Proportional to 284.60, 392.80 and 237.89

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Solution

The fourth proportional to 284.60, 392.80 and 237.89 is: 328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.60 : 392.80 = 237.89 : x
  2. Step 2: Convert to fraction form
    284.60/392.80 = 237.89/x
  3. Step 3: Cross multiply
    284.60x = 392.80 × 237.89
  4. Step 4: Simplify right side
    284.60x = 93,441.23
  5. Step 5: Solve for x
    x = 93,441.23/284.60
  6. Step 6: Final answer
    x = 328.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.