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Finding the Fourth Proportional to 595.25, 820.82 and 470.71

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Solution

The fourth proportional to 595.25, 820.82 and 470.71 is: 649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.25 : 820.82 = 470.71 : x
  2. Step 2: Convert to fraction form
    595.25/820.82 = 470.71/x
  3. Step 3: Cross multiply
    595.25x = 820.82 × 470.71
  4. Step 4: Simplify right side
    595.25x = 386,361.72
  5. Step 5: Solve for x
    x = 386,361.72/595.25
  6. Step 6: Final answer
    x = 649.08

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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.