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Finding the Fourth Proportional to 585.93, 880.06 and 366.94

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Solution

The fourth proportional to 585.93, 880.06 and 366.94 is: 551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.93 : 880.06 = 366.94 : x
  2. Step 2: Convert to fraction form
    585.93/880.06 = 366.94/x
  3. Step 3: Cross multiply
    585.93x = 880.06 × 366.94
  4. Step 4: Simplify right side
    585.93x = 322,929.22
  5. Step 5: Solve for x
    x = 322,929.22/585.93
  6. Step 6: Final answer
    x = 551.14

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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.