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Finding the Fourth Proportional to 465.79, 697.58 and 404.59

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Solution

The fourth proportional to 465.79, 697.58 and 404.59 is: 605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.79 : 697.58 = 404.59 : x
  2. Step 2: Convert to fraction form
    465.79/697.58 = 404.59/x
  3. Step 3: Cross multiply
    465.79x = 697.58 × 404.59
  4. Step 4: Simplify right side
    465.79x = 282,233.89
  5. Step 5: Solve for x
    x = 282,233.89/465.79
  6. Step 6: Final answer
    x = 605.93

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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.