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Finding the Fourth Proportional to 414.84, 572.40 and 275.16

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Solution

The fourth proportional to 414.84, 572.40 and 275.16 is: 379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 572.40 = 275.16 : x
  2. Step 2: Convert to fraction form
    414.84/572.40 = 275.16/x
  3. Step 3: Cross multiply
    414.84x = 572.40 × 275.16
  4. Step 4: Simplify right side
    414.84x = 157,501.58
  5. Step 5: Solve for x
    x = 157,501.58/414.84
  6. Step 6: Final answer
    x = 379.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.