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Finding the Fourth Proportional to 584.54, 805.94 and 500.46

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Solution

The fourth proportional to 584.54, 805.94 and 500.46 is: 690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.54 : 805.94 = 500.46 : x
  2. Step 2: Convert to fraction form
    584.54/805.94 = 500.46/x
  3. Step 3: Cross multiply
    584.54x = 805.94 × 500.46
  4. Step 4: Simplify right side
    584.54x = 403,340.73
  5. Step 5: Solve for x
    x = 403,340.73/584.54
  6. Step 6: Final answer
    x = 690.01

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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.