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Finding the Fourth Proportional to 585.84, 808.88 and 365.12

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Solution

The fourth proportional to 585.84, 808.88 and 365.12 is: 504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.84 : 808.88 = 365.12 : x
  2. Step 2: Convert to fraction form
    585.84/808.88 = 365.12/x
  3. Step 3: Cross multiply
    585.84x = 808.88 × 365.12
  4. Step 4: Simplify right side
    585.84x = 295,338.27
  5. Step 5: Solve for x
    x = 295,338.27/585.84
  6. Step 6: Final answer
    x = 504.13

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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.