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Finding the Fourth Proportional to 555.84, 767.01 and 307.14

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Solution

The fourth proportional to 555.84, 767.01 and 307.14 is: 423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.84 : 767.01 = 307.14 : x
  2. Step 2: Convert to fraction form
    555.84/767.01 = 307.14/x
  3. Step 3: Cross multiply
    555.84x = 767.01 × 307.14
  4. Step 4: Simplify right side
    555.84x = 235,579.45
  5. Step 5: Solve for x
    x = 235,579.45/555.84
  6. Step 6: Final answer
    x = 423.83

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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.