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Finding the Fourth Proportional to 521.92, 785.71 and 469

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Solution

The fourth proportional to 521.92, 785.71 and 469 is: 706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.92 : 785.71 = 469 : x
  2. Step 2: Convert to fraction form
    521.92/785.71 = 469/x
  3. Step 3: Cross multiply
    521.92x = 785.71 × 469
  4. Step 4: Simplify right side
    521.92x = 368,497.99
  5. Step 5: Solve for x
    x = 368,497.99/521.92
  6. Step 6: Final answer
    x = 706.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.