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Finding the Fourth Proportional to 395.48, 546.10 and 297.06

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Solution

The fourth proportional to 395.48, 546.10 and 297.06 is: 410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.48 : 546.10 = 297.06 : x
  2. Step 2: Convert to fraction form
    395.48/546.10 = 297.06/x
  3. Step 3: Cross multiply
    395.48x = 546.10 × 297.06
  4. Step 4: Simplify right side
    395.48x = 162,224.47
  5. Step 5: Solve for x
    x = 162,224.47/395.48
  6. Step 6: Final answer
    x = 410.20

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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.