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Finding the Fourth Proportional to 575.77, 794.57 and 342.88

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Solution

The fourth proportional to 575.77, 794.57 and 342.88 is: 473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.77 : 794.57 = 342.88 : x
  2. Step 2: Convert to fraction form
    575.77/794.57 = 342.88/x
  3. Step 3: Cross multiply
    575.77x = 794.57 × 342.88
  4. Step 4: Simplify right side
    575.77x = 272,442.16
  5. Step 5: Solve for x
    x = 272,442.16/575.77
  6. Step 6: Final answer
    x = 473.18

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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.