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Finding the Fourth Proportional to 699.02, 964.63 and 404.31

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Solution

The fourth proportional to 699.02, 964.63 and 404.31 is: 557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.02 : 964.63 = 404.31 : x
  2. Step 2: Convert to fraction form
    699.02/964.63 = 404.31/x
  3. Step 3: Cross multiply
    699.02x = 964.63 × 404.31
  4. Step 4: Simplify right side
    699.02x = 390,009.56
  5. Step 5: Solve for x
    x = 390,009.56/699.02
  6. Step 6: Final answer
    x = 557.94

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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.