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Finding the Fourth Proportional to 698.99, 964.53 and 404.35

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Solution

The fourth proportional to 698.99, 964.53 and 404.35 is: 557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.99 : 964.53 = 404.35 : x
  2. Step 2: Convert to fraction form
    698.99/964.53 = 404.35/x
  3. Step 3: Cross multiply
    698.99x = 964.53 × 404.35
  4. Step 4: Simplify right side
    698.99x = 390,005.29
  5. Step 5: Solve for x
    x = 390,005.29/698.99
  6. Step 6: Final answer
    x = 557.96

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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.