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Finding the Fourth Proportional to 551.84, 761.45 and 315.75

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Solution

The fourth proportional to 551.84, 761.45 and 315.75 is: 435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.84 : 761.45 = 315.75 : x
  2. Step 2: Convert to fraction form
    551.84/761.45 = 315.75/x
  3. Step 3: Cross multiply
    551.84x = 761.45 × 315.75
  4. Step 4: Simplify right side
    551.84x = 240,427.84
  5. Step 5: Solve for x
    x = 240,427.84/551.84
  6. Step 6: Final answer
    x = 435.68

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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.