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Finding the Fourth Proportional to 508.77, 705.33 and 498.69

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Solution

The fourth proportional to 508.77, 705.33 and 498.69 is: 691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.77 : 705.33 = 498.69 : x
  2. Step 2: Convert to fraction form
    508.77/705.33 = 498.69/x
  3. Step 3: Cross multiply
    508.77x = 705.33 × 498.69
  4. Step 4: Simplify right side
    508.77x = 351,741.02
  5. Step 5: Solve for x
    x = 351,741.02/508.77
  6. Step 6: Final answer
    x = 691.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.