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Finding the Fourth Proportional to 555.42, 765.72 and 380.46

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Solution

The fourth proportional to 555.42, 765.72 and 380.46 is: 524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.42 : 765.72 = 380.46 : x
  2. Step 2: Convert to fraction form
    555.42/765.72 = 380.46/x
  3. Step 3: Cross multiply
    555.42x = 765.72 × 380.46
  4. Step 4: Simplify right side
    555.42x = 291,325.83
  5. Step 5: Solve for x
    x = 291,325.83/555.42
  6. Step 6: Final answer
    x = 524.51

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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.