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Finding the Fourth Proportional to 567.17, 848.91 and 306.54

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Solution

The fourth proportional to 567.17, 848.91 and 306.54 is: 458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.17 : 848.91 = 306.54 : x
  2. Step 2: Convert to fraction form
    567.17/848.91 = 306.54/x
  3. Step 3: Cross multiply
    567.17x = 848.91 × 306.54
  4. Step 4: Simplify right side
    567.17x = 260,224.87
  5. Step 5: Solve for x
    x = 260,224.87/567.17
  6. Step 6: Final answer
    x = 458.82

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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.