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Finding the Fourth Proportional to 567.46, 848.76 and 335.80

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Solution

The fourth proportional to 567.46, 848.76 and 335.80 is: 502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.46 : 848.76 = 335.80 : x
  2. Step 2: Convert to fraction form
    567.46/848.76 = 335.80/x
  3. Step 3: Cross multiply
    567.46x = 848.76 × 335.80
  4. Step 4: Simplify right side
    567.46x = 285,013.61
  5. Step 5: Solve for x
    x = 285,013.61/567.46
  6. Step 6: Final answer
    x = 502.26

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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.