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Finding the Fourth Proportional to 507.85, 703.65 and 496.91

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Solution

The fourth proportional to 507.85, 703.65 and 496.91 is: 688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.85 : 703.65 = 496.91 : x
  2. Step 2: Convert to fraction form
    507.85/703.65 = 496.91/x
  3. Step 3: Cross multiply
    507.85x = 703.65 × 496.91
  4. Step 4: Simplify right side
    507.85x = 349,650.72
  5. Step 5: Solve for x
    x = 349,650.72/507.85
  6. Step 6: Final answer
    x = 688.49

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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.