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Finding the Fourth Proportional to 370.92, 554.10 and 284.22

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Solution

The fourth proportional to 370.92, 554.10 and 284.22 is: 424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.92 : 554.10 = 284.22 : x
  2. Step 2: Convert to fraction form
    370.92/554.10 = 284.22/x
  3. Step 3: Cross multiply
    370.92x = 554.10 × 284.22
  4. Step 4: Simplify right side
    370.92x = 157,486.30
  5. Step 5: Solve for x
    x = 157,486.30/370.92
  6. Step 6: Final answer
    x = 424.58

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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.