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Finding the Fourth Proportional to 699.01, 964.50 and 404.17

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Solution

The fourth proportional to 699.01, 964.50 and 404.17 is: 557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.01 : 964.50 = 404.17 : x
  2. Step 2: Convert to fraction form
    699.01/964.50 = 404.17/x
  3. Step 3: Cross multiply
    699.01x = 964.50 × 404.17
  4. Step 4: Simplify right side
    699.01x = 389,817.14
  5. Step 5: Solve for x
    x = 389,817.14/699.01
  6. Step 6: Final answer
    x = 557.67

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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.