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Finding the Fourth Proportional to 584, 805.68 and 362.84

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Solution

The fourth proportional to 584, 805.68 and 362.84 is: 500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    584 : 805.68 = 362.84 : x
  2. Step 2: Convert to fraction form
    584/805.68 = 362.84/x
  3. Step 3: Cross multiply
    584x = 805.68 × 362.84
  4. Step 4: Simplify right side
    584x = 292,332.93
  5. Step 5: Solve for x
    x = 292,332.93/584
  6. Step 6: Final answer
    x = 500.57

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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.