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Finding the Fourth Proportional to 710.12, 979.93 and 395.42

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Solution

The fourth proportional to 710.12, 979.93 and 395.42 is: 545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.12 : 979.93 = 395.42 : x
  2. Step 2: Convert to fraction form
    710.12/979.93 = 395.42/x
  3. Step 3: Cross multiply
    710.12x = 979.93 × 395.42
  4. Step 4: Simplify right side
    710.12x = 387,479.52
  5. Step 5: Solve for x
    x = 387,479.52/710.12
  6. Step 6: Final answer
    x = 545.66

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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.