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Finding the Fourth Proportional to 710.10, 979.65 and 448.38

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Solution

The fourth proportional to 710.10, 979.65 and 448.38 is: 618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.10 : 979.65 = 448.38 : x
  2. Step 2: Convert to fraction form
    710.10/979.65 = 448.38/x
  3. Step 3: Cross multiply
    710.10x = 979.65 × 448.38
  4. Step 4: Simplify right side
    710.10x = 439,255.47
  5. Step 5: Solve for x
    x = 439,255.47/710.10
  6. Step 6: Final answer
    x = 618.58

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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.