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Finding the Fourth Proportional to 407, 560.04 and 395.66

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Solution

The fourth proportional to 407, 560.04 and 395.66 is: 544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407 : 560.04 = 395.66 : x
  2. Step 2: Convert to fraction form
    407/560.04 = 395.66/x
  3. Step 3: Cross multiply
    407x = 560.04 × 395.66
  4. Step 4: Simplify right side
    407x = 221,585.43
  5. Step 5: Solve for x
    x = 221,585.43/407
  6. Step 6: Final answer
    x = 544.44

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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.