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Finding the Fourth Proportional to 507.60, 703.44 and 497.88

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Solution

The fourth proportional to 507.60, 703.44 and 497.88 is: 689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 703.44 = 497.88 : x
  2. Step 2: Convert to fraction form
    507.60/703.44 = 497.88/x
  3. Step 3: Cross multiply
    507.60x = 703.44 × 497.88
  4. Step 4: Simplify right side
    507.60x = 350,228.71
  5. Step 5: Solve for x
    x = 350,228.71/507.60
  6. Step 6: Final answer
    x = 689.97

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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.