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Finding the Fourth Proportional to 342.70, 511.58 and 317.35

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Solution

The fourth proportional to 342.70, 511.58 and 317.35 is: 473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.70 : 511.58 = 317.35 : x
  2. Step 2: Convert to fraction form
    342.70/511.58 = 317.35/x
  3. Step 3: Cross multiply
    342.70x = 511.58 × 317.35
  4. Step 4: Simplify right side
    342.70x = 162,351.35
  5. Step 5: Solve for x
    x = 162,351.35/342.70
  6. Step 6: Final answer
    x = 473.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.