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Finding the Fourth Proportional to 567.18, 851.45 and 476.06

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Solution

The fourth proportional to 567.18, 851.45 and 476.06 is: 714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.18 : 851.45 = 476.06 : x
  2. Step 2: Convert to fraction form
    567.18/851.45 = 476.06/x
  3. Step 3: Cross multiply
    567.18x = 851.45 × 476.06
  4. Step 4: Simplify right side
    567.18x = 405,334.65
  5. Step 5: Solve for x
    x = 405,334.65/567.18
  6. Step 6: Final answer
    x = 714.65

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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.