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Finding the Fourth Proportional to 710.24, 979.04 and 473.76

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Solution

The fourth proportional to 710.24, 979.04 and 473.76 is: 653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.24 : 979.04 = 473.76 : x
  2. Step 2: Convert to fraction form
    710.24/979.04 = 473.76/x
  3. Step 3: Cross multiply
    710.24x = 979.04 × 473.76
  4. Step 4: Simplify right side
    710.24x = 463,829.99
  5. Step 5: Solve for x
    x = 463,829.99/710.24
  6. Step 6: Final answer
    x = 653.06

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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.