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Finding the Fourth Proportional to 555.77, 766.90 and 307.07

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Solution

The fourth proportional to 555.77, 766.90 and 307.07 is: 423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.77 : 766.90 = 307.07 : x
  2. Step 2: Convert to fraction form
    555.77/766.90 = 307.07/x
  3. Step 3: Cross multiply
    555.77x = 766.90 × 307.07
  4. Step 4: Simplify right side
    555.77x = 235,486.61
  5. Step 5: Solve for x
    x = 235,486.61/555.77
  6. Step 6: Final answer
    x = 423.72

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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.