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Finding the Fourth Proportional to 585.16, 806.84 and 375.06

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Solution

The fourth proportional to 585.16, 806.84 and 375.06 is: 517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.16 : 806.84 = 375.06 : x
  2. Step 2: Convert to fraction form
    585.16/806.84 = 375.06/x
  3. Step 3: Cross multiply
    585.16x = 806.84 × 375.06
  4. Step 4: Simplify right side
    585.16x = 302,613.41
  5. Step 5: Solve for x
    x = 302,613.41/585.16
  6. Step 6: Final answer
    x = 517.15

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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.