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Finding the Fourth Proportional to 508.79, 701.93 and 342.72

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Solution

The fourth proportional to 508.79, 701.93 and 342.72 is: 472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.79 : 701.93 = 342.72 : x
  2. Step 2: Convert to fraction form
    508.79/701.93 = 342.72/x
  3. Step 3: Cross multiply
    508.79x = 701.93 × 342.72
  4. Step 4: Simplify right side
    508.79x = 240,563.74
  5. Step 5: Solve for x
    x = 240,563.74/508.79
  6. Step 6: Final answer
    x = 472.81

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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.