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Finding the Fourth Proportional to 457.06, 630.05 and 358.65

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Solution

The fourth proportional to 457.06, 630.05 and 358.65 is: 494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.06 : 630.05 = 358.65 : x
  2. Step 2: Convert to fraction form
    457.06/630.05 = 358.65/x
  3. Step 3: Cross multiply
    457.06x = 630.05 × 358.65
  4. Step 4: Simplify right side
    457.06x = 225,967.43
  5. Step 5: Solve for x
    x = 225,967.43/457.06
  6. Step 6: Final answer
    x = 494.39

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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.