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Finding the Fourth Proportional to 719.02, 992.66 and 470.59

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Solution

The fourth proportional to 719.02, 992.66 and 470.59 is: 649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.02 : 992.66 = 470.59 : x
  2. Step 2: Convert to fraction form
    719.02/992.66 = 470.59/x
  3. Step 3: Cross multiply
    719.02x = 992.66 × 470.59
  4. Step 4: Simplify right side
    719.02x = 467,135.87
  5. Step 5: Solve for x
    x = 467,135.87/719.02
  6. Step 6: Final answer
    x = 649.68

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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.