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Finding the Fourth Proportional to 584.77, 805.14 and 496.07

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Solution

The fourth proportional to 584.77, 805.14 and 496.07 is: 683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.77 : 805.14 = 496.07 : x
  2. Step 2: Convert to fraction form
    584.77/805.14 = 496.07/x
  3. Step 3: Cross multiply
    584.77x = 805.14 × 496.07
  4. Step 4: Simplify right side
    584.77x = 399,402.53
  5. Step 5: Solve for x
    x = 399,402.53/584.77
  6. Step 6: Final answer
    x = 683.01

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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.