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Finding the Fourth Proportional to 584.64, 805.68 and 569.52

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Solution

The fourth proportional to 584.64, 805.68 and 569.52 is: 784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.64 : 805.68 = 569.52 : x
  2. Step 2: Convert to fraction form
    584.64/805.68 = 569.52/x
  3. Step 3: Cross multiply
    584.64x = 805.68 × 569.52
  4. Step 4: Simplify right side
    584.64x = 458,850.87
  5. Step 5: Solve for x
    x = 458,850.87/584.64
  6. Step 6: Final answer
    x = 784.84

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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.