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Finding the Fourth Proportional to 699.12, 964.98 and 404.51

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Solution

The fourth proportional to 699.12, 964.98 and 404.51 is: 558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.12 : 964.98 = 404.51 : x
  2. Step 2: Convert to fraction form
    699.12/964.98 = 404.51/x
  3. Step 3: Cross multiply
    699.12x = 964.98 × 404.51
  4. Step 4: Simplify right side
    699.12x = 390,339.23
  5. Step 5: Solve for x
    x = 390,339.23/699.12
  6. Step 6: Final answer
    x = 558.33

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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.