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Finding the Fourth Proportional to 468.16, 645.76 and 284.16

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Solution

The fourth proportional to 468.16, 645.76 and 284.16 is: 391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.16 : 645.76 = 284.16 : x
  2. Step 2: Convert to fraction form
    468.16/645.76 = 284.16/x
  3. Step 3: Cross multiply
    468.16x = 645.76 × 284.16
  4. Step 4: Simplify right side
    468.16x = 183,499.16
  5. Step 5: Solve for x
    x = 183,499.16/468.16
  6. Step 6: Final answer
    x = 391.96

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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.