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Finding the Fourth Proportional to 468.04, 645.86 and 261

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Solution

The fourth proportional to 468.04, 645.86 and 261 is: 360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.04 : 645.86 = 261 : x
  2. Step 2: Convert to fraction form
    468.04/645.86 = 261/x
  3. Step 3: Cross multiply
    468.04x = 645.86 × 261
  4. Step 4: Simplify right side
    468.04x = 168,569.46
  5. Step 5: Solve for x
    x = 168,569.46/468.04
  6. Step 6: Final answer
    x = 360.16

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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.