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Finding the Fourth Proportional to 555.83, 766.55 and 468.35

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Solution

The fourth proportional to 555.83, 766.55 and 468.35 is: 645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.83 : 766.55 = 468.35 : x
  2. Step 2: Convert to fraction form
    555.83/766.55 = 468.35/x
  3. Step 3: Cross multiply
    555.83x = 766.55 × 468.35
  4. Step 4: Simplify right side
    555.83x = 359,007.52
  5. Step 5: Solve for x
    x = 359,007.52/555.83
  6. Step 6: Final answer
    x = 645.90

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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.