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Finding the Fourth Proportional to 690, 952.56 and 483.36

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Solution

The fourth proportional to 690, 952.56 and 483.36 is: 667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    690 : 952.56 = 483.36 : x
  2. Step 2: Convert to fraction form
    690/952.56 = 483.36/x
  3. Step 3: Cross multiply
    690x = 952.56 × 483.36
  4. Step 4: Simplify right side
    690x = 460,429.40
  5. Step 5: Solve for x
    x = 460,429.40/690
  6. Step 6: Final answer
    x = 667.29

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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.