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Finding the Fourth Proportional to 595.08, 820.78 and 460

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Solution

The fourth proportional to 595.08, 820.78 and 460 is: 634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.08 : 820.78 = 460 : x
  2. Step 2: Convert to fraction form
    595.08/820.78 = 460/x
  3. Step 3: Cross multiply
    595.08x = 820.78 × 460
  4. Step 4: Simplify right side
    595.08x = 377,558.80
  5. Step 5: Solve for x
    x = 377,558.80/595.08
  6. Step 6: Final answer
    x = 634.47

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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.