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Finding the Fourth Proportional to 370.04, 557.58 and 306.46

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Solution

The fourth proportional to 370.04, 557.58 and 306.46 is: 461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.04 : 557.58 = 306.46 : x
  2. Step 2: Convert to fraction form
    370.04/557.58 = 306.46/x
  3. Step 3: Cross multiply
    370.04x = 557.58 × 306.46
  4. Step 4: Simplify right side
    370.04x = 170,874.57
  5. Step 5: Solve for x
    x = 170,874.57/370.04
  6. Step 6: Final answer
    x = 461.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.