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Finding the Fourth Proportional to 477.63, 716.71 and 258.25

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Solution

The fourth proportional to 477.63, 716.71 and 258.25 is: 387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.63 : 716.71 = 258.25 : x
  2. Step 2: Convert to fraction form
    477.63/716.71 = 258.25/x
  3. Step 3: Cross multiply
    477.63x = 716.71 × 258.25
  4. Step 4: Simplify right side
    477.63x = 185,088.82
  5. Step 5: Solve for x
    x = 185,088.82/477.63
  6. Step 6: Final answer
    x = 387.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.