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Finding the Fourth Proportional to 505.84, 698.44 and 497.77

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Solution

The fourth proportional to 505.84, 698.44 and 497.77 is: 687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.84 : 698.44 = 497.77 : x
  2. Step 2: Convert to fraction form
    505.84/698.44 = 497.77/x
  3. Step 3: Cross multiply
    505.84x = 698.44 × 497.77
  4. Step 4: Simplify right side
    505.84x = 347,656.50
  5. Step 5: Solve for x
    x = 347,656.50/505.84
  6. Step 6: Final answer
    x = 687.29

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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.