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Finding the Fourth Proportional to 565.82, 848.76 and 348.92

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Solution

The fourth proportional to 565.82, 848.76 and 348.92 is: 523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.82 : 848.76 = 348.92 : x
  2. Step 2: Convert to fraction form
    565.82/848.76 = 348.92/x
  3. Step 3: Cross multiply
    565.82x = 848.76 × 348.92
  4. Step 4: Simplify right side
    565.82x = 296,149.34
  5. Step 5: Solve for x
    x = 296,149.34/565.82
  6. Step 6: Final answer
    x = 523.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.