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Finding the Fourth Proportional to 567.46, 851.04 and 259.15

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Solution

The fourth proportional to 567.46, 851.04 and 259.15 is: 388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.46 : 851.04 = 259.15 : x
  2. Step 2: Convert to fraction form
    567.46/851.04 = 259.15/x
  3. Step 3: Cross multiply
    567.46x = 851.04 × 259.15
  4. Step 4: Simplify right side
    567.46x = 220,547.02
  5. Step 5: Solve for x
    x = 220,547.02/567.46
  6. Step 6: Final answer
    x = 388.66

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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.