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Finding the Fourth Proportional to 698.90, 964.58 and 400.24

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Solution

The fourth proportional to 698.90, 964.58 and 400.24 is: 552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.90 : 964.58 = 400.24 : x
  2. Step 2: Convert to fraction form
    698.90/964.58 = 400.24/x
  3. Step 3: Cross multiply
    698.90x = 964.58 × 400.24
  4. Step 4: Simplify right side
    698.90x = 386,063.50
  5. Step 5: Solve for x
    x = 386,063.50/698.90
  6. Step 6: Final answer
    x = 552.39

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1.5x scale

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.