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Finding the Fourth Proportional to 646.84, 970.94 and 387.10

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Solution

The fourth proportional to 646.84, 970.94 and 387.10 is: 581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.84 : 970.94 = 387.10 : x
  2. Step 2: Convert to fraction form
    646.84/970.94 = 387.10/x
  3. Step 3: Cross multiply
    646.84x = 970.94 × 387.10
  4. Step 4: Simplify right side
    646.84x = 375,850.87
  5. Step 5: Solve for x
    x = 375,850.87/646.84
  6. Step 6: Final answer
    x = 581.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.