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Finding the Fourth Proportional to 505.41, 700.44 and 497.72

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Solution

The fourth proportional to 505.41, 700.44 and 497.72 is: 689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.41 : 700.44 = 497.72 : x
  2. Step 2: Convert to fraction form
    505.41/700.44 = 497.72/x
  3. Step 3: Cross multiply
    505.41x = 700.44 × 497.72
  4. Step 4: Simplify right side
    505.41x = 348,619.49
  5. Step 5: Solve for x
    x = 348,619.49/505.41
  6. Step 6: Final answer
    x = 689.78

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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.