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Finding the Fourth Proportional to 465.17, 697.02 and 259.79

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Solution

The fourth proportional to 465.17, 697.02 and 259.79 is: 389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.17 : 697.02 = 259.79 : x
  2. Step 2: Convert to fraction form
    465.17/697.02 = 259.79/x
  3. Step 3: Cross multiply
    465.17x = 697.02 × 259.79
  4. Step 4: Simplify right side
    465.17x = 181,075.34
  5. Step 5: Solve for x
    x = 181,075.34/465.17
  6. Step 6: Final answer
    x = 389.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.