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Finding the Fourth Proportional to 705.88, 974.10 and 395.40

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Solution

The fourth proportional to 705.88, 974.10 and 395.40 is: 545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.88 : 974.10 = 395.40 : x
  2. Step 2: Convert to fraction form
    705.88/974.10 = 395.40/x
  3. Step 3: Cross multiply
    705.88x = 974.10 × 395.40
  4. Step 4: Simplify right side
    705.88x = 385,159.14
  5. Step 5: Solve for x
    x = 385,159.14/705.88
  6. Step 6: Final answer
    x = 545.64

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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.