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Finding the Fourth Proportional to 595.36, 820.24 and 470.96

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Solution

The fourth proportional to 595.36, 820.24 and 470.96 is: 648.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.36 : 820.24 = 470.96 : x
  2. Step 2: Convert to fraction form
    595.36/820.24 = 470.96/x
  3. Step 3: Cross multiply
    595.36x = 820.24 × 470.96
  4. Step 4: Simplify right side
    595.36x = 386,300.23
  5. Step 5: Solve for x
    x = 386,300.23/595.36
  6. Step 6: Final answer
    x = 648.85

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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.