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Finding the Fourth Proportional to 555.34, 766.46 and 359

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Solution

The fourth proportional to 555.34, 766.46 and 359 is: 495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.34 : 766.46 = 359 : x
  2. Step 2: Convert to fraction form
    555.34/766.46 = 359/x
  3. Step 3: Cross multiply
    555.34x = 766.46 × 359
  4. Step 4: Simplify right side
    555.34x = 275,159.14
  5. Step 5: Solve for x
    x = 275,159.14/555.34
  6. Step 6: Final answer
    x = 495.48

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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.