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Finding the Fourth Proportional to 565.62, 780.33 and 358.50

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Solution

The fourth proportional to 565.62, 780.33 and 358.50 is: 494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.62 : 780.33 = 358.50 : x
  2. Step 2: Convert to fraction form
    565.62/780.33 = 358.50/x
  3. Step 3: Cross multiply
    565.62x = 780.33 × 358.50
  4. Step 4: Simplify right side
    565.62x = 279,748.31
  5. Step 5: Solve for x
    x = 279,748.31/565.62
  6. Step 6: Final answer
    x = 494.59

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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.