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Finding the Fourth Proportional to 467.51, 701.70 and 313.55

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Solution

The fourth proportional to 467.51, 701.70 and 313.55 is: 470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.51 : 701.70 = 313.55 : x
  2. Step 2: Convert to fraction form
    467.51/701.70 = 313.55/x
  3. Step 3: Cross multiply
    467.51x = 701.70 × 313.55
  4. Step 4: Simplify right side
    467.51x = 220,018.04
  5. Step 5: Solve for x
    x = 220,018.04/467.51
  6. Step 6: Final answer
    x = 470.62

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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.