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Finding the Fourth Proportional to 587.77, 809.28 and 499.07

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Solution

The fourth proportional to 587.77, 809.28 and 499.07 is: 687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.77 : 809.28 = 499.07 : x
  2. Step 2: Convert to fraction form
    587.77/809.28 = 499.07/x
  3. Step 3: Cross multiply
    587.77x = 809.28 × 499.07
  4. Step 4: Simplify right side
    587.77x = 403,881.45
  5. Step 5: Solve for x
    x = 403,881.45/587.77
  6. Step 6: Final answer
    x = 687.14

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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.