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Finding the Fourth Proportional to 467.13, 701.03 and 313.35

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Solution

The fourth proportional to 467.13, 701.03 and 313.35 is: 470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.13 : 701.03 = 313.35 : x
  2. Step 2: Convert to fraction form
    467.13/701.03 = 313.35/x
  3. Step 3: Cross multiply
    467.13x = 701.03 × 313.35
  4. Step 4: Simplify right side
    467.13x = 219,667.75
  5. Step 5: Solve for x
    x = 219,667.75/467.13
  6. Step 6: Final answer
    x = 470.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.