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Finding the Fourth Proportional to 314.01, 468.34 and 275.74

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Solution

The fourth proportional to 314.01, 468.34 and 275.74 is: 411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.01 : 468.34 = 275.74 : x
  2. Step 2: Convert to fraction form
    314.01/468.34 = 275.74/x
  3. Step 3: Cross multiply
    314.01x = 468.34 × 275.74
  4. Step 4: Simplify right side
    314.01x = 129,140.07
  5. Step 5: Solve for x
    x = 129,140.07/314.01
  6. Step 6: Final answer
    x = 411.26

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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.