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Finding the Fourth Proportional to 710.51, 979.83 and 470.81

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Solution

The fourth proportional to 710.51, 979.83 and 470.81 is: 649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.51 : 979.83 = 470.81 : x
  2. Step 2: Convert to fraction form
    710.51/979.83 = 470.81/x
  3. Step 3: Cross multiply
    710.51x = 979.83 × 470.81
  4. Step 4: Simplify right side
    710.51x = 461,313.76
  5. Step 5: Solve for x
    x = 461,313.76/710.51
  6. Step 6: Final answer
    x = 649.27

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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.