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Finding the Fourth Proportional to 557.64, 769.55 and 324.75

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Solution

The fourth proportional to 557.64, 769.55 and 324.75 is: 448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.64 : 769.55 = 324.75 : x
  2. Step 2: Convert to fraction form
    557.64/769.55 = 324.75/x
  3. Step 3: Cross multiply
    557.64x = 769.55 × 324.75
  4. Step 4: Simplify right side
    557.64x = 249,909.74
  5. Step 5: Solve for x
    x = 249,909.74/557.64
  6. Step 6: Final answer
    x = 448.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.