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Finding the Fourth Proportional to 697.31, 962.19 and 417.50

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Solution

The fourth proportional to 697.31, 962.19 and 417.50 is: 576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.31 : 962.19 = 417.50 : x
  2. Step 2: Convert to fraction form
    697.31/962.19 = 417.50/x
  3. Step 3: Cross multiply
    697.31x = 962.19 × 417.50
  4. Step 4: Simplify right side
    697.31x = 401,709.51
  5. Step 5: Solve for x
    x = 401,709.51/697.31
  6. Step 6: Final answer
    x = 576.09

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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.