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Finding the Fourth Proportional to 595.76, 822.66 and 498.56

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Solution

The fourth proportional to 595.76, 822.66 and 498.56 is: 688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.76 : 822.66 = 498.56 : x
  2. Step 2: Convert to fraction form
    595.76/822.66 = 498.56/x
  3. Step 3: Cross multiply
    595.76x = 822.66 × 498.56
  4. Step 4: Simplify right side
    595.76x = 410,145.37
  5. Step 5: Solve for x
    x = 410,145.37/595.76
  6. Step 6: Final answer
    x = 688.44

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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.