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Finding the Fourth Proportional to 585.96, 880.17 and 465.08

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Solution

The fourth proportional to 585.96, 880.17 and 465.08 is: 698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.96 : 880.17 = 465.08 : x
  2. Step 2: Convert to fraction form
    585.96/880.17 = 465.08/x
  3. Step 3: Cross multiply
    585.96x = 880.17 × 465.08
  4. Step 4: Simplify right side
    585.96x = 409,345.06
  5. Step 5: Solve for x
    x = 409,345.06/585.96
  6. Step 6: Final answer
    x = 698.59

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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.