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Finding the Fourth Proportional to 557.82, 765.72 and 514.08

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Solution

The fourth proportional to 557.82, 765.72 and 514.08 is: 705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.82 : 765.72 = 514.08 : x
  2. Step 2: Convert to fraction form
    557.82/765.72 = 514.08/x
  3. Step 3: Cross multiply
    557.82x = 765.72 × 514.08
  4. Step 4: Simplify right side
    557.82x = 393,641.34
  5. Step 5: Solve for x
    x = 393,641.34/557.82
  6. Step 6: Final answer
    x = 705.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.