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Finding the Fourth Proportional to 407.48, 562.40 and 297.04

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Solution

The fourth proportional to 407.48, 562.40 and 297.04 is: 409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.48 : 562.40 = 297.04 : x
  2. Step 2: Convert to fraction form
    407.48/562.40 = 297.04/x
  3. Step 3: Cross multiply
    407.48x = 562.40 × 297.04
  4. Step 4: Simplify right side
    407.48x = 167,055.30
  5. Step 5: Solve for x
    x = 167,055.30/407.48
  6. Step 6: Final answer
    x = 409.97

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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.