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Finding the Fourth Proportional to 574.93, 793.07 and 470.10

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Solution

The fourth proportional to 574.93, 793.07 and 470.10 is: 648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.93 : 793.07 = 470.10 : x
  2. Step 2: Convert to fraction form
    574.93/793.07 = 470.10/x
  3. Step 3: Cross multiply
    574.93x = 793.07 × 470.10
  4. Step 4: Simplify right side
    574.93x = 372,822.21
  5. Step 5: Solve for x
    x = 372,822.21/574.93
  6. Step 6: Final answer
    x = 648.47

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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.