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Finding the Fourth Proportional to 710.52, 980.67 and 477.51

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Solution

The fourth proportional to 710.52, 980.67 and 477.51 is: 659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.52 : 980.67 = 477.51 : x
  2. Step 2: Convert to fraction form
    710.52/980.67 = 477.51/x
  3. Step 3: Cross multiply
    710.52x = 980.67 × 477.51
  4. Step 4: Simplify right side
    710.52x = 468,275.57
  5. Step 5: Solve for x
    x = 468,275.57/710.52
  6. Step 6: Final answer
    x = 659.06

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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.