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Finding the Fourth Proportional to 699.07, 964.71 and 404.32

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Solution

The fourth proportional to 699.07, 964.71 and 404.32 is: 557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.07 : 964.71 = 404.32 : x
  2. Step 2: Convert to fraction form
    699.07/964.71 = 404.32/x
  3. Step 3: Cross multiply
    699.07x = 964.71 × 404.32
  4. Step 4: Simplify right side
    699.07x = 390,051.55
  5. Step 5: Solve for x
    x = 390,051.55/699.07
  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.