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Finding the Fourth Proportional to 313.01, 468.63 and 175.70

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Solution

The fourth proportional to 313.01, 468.63 and 175.70 is: 263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.01 : 468.63 = 175.70 : x
  2. Step 2: Convert to fraction form
    313.01/468.63 = 175.70/x
  3. Step 3: Cross multiply
    313.01x = 468.63 × 175.70
  4. Step 4: Simplify right side
    313.01x = 82,338.29
  5. Step 5: Solve for x
    x = 82,338.29/313.01
  6. Step 6: Final answer
    x = 263.05

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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.