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Finding the Fourth Proportional to 555.69, 766.83 and 307.00

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Solution

The fourth proportional to 555.69, 766.83 and 307.00 is: 423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.69 : 766.83 = 307.00 : x
  2. Step 2: Convert to fraction form
    555.69/766.83 = 307.00/x
  3. Step 3: Cross multiply
    555.69x = 766.83 × 307.00
  4. Step 4: Simplify right side
    555.69x = 235,412.98
  5. Step 5: Solve for x
    x = 235,412.98/555.69
  6. Step 6: Final answer
    x = 423.64

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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.