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Finding the Fourth Proportional to 591.66, 886.16 and 341.18

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Solution

The fourth proportional to 591.66, 886.16 and 341.18 is: 510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.66 : 886.16 = 341.18 : x
  2. Step 2: Convert to fraction form
    591.66/886.16 = 341.18/x
  3. Step 3: Cross multiply
    591.66x = 886.16 × 341.18
  4. Step 4: Simplify right side
    591.66x = 302,333.93
  5. Step 5: Solve for x
    x = 302,333.93/591.66
  6. Step 6: Final answer
    x = 510.99

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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.