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Finding the Fourth Proportional to 587.84, 810.95 and 366.39

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Solution

The fourth proportional to 587.84, 810.95 and 366.39 is: 505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.84 : 810.95 = 366.39 : x
  2. Step 2: Convert to fraction form
    587.84/810.95 = 366.39/x
  3. Step 3: Cross multiply
    587.84x = 810.95 × 366.39
  4. Step 4: Simplify right side
    587.84x = 297,122.14
  5. Step 5: Solve for x
    x = 297,122.14/587.84
  6. Step 6: Final answer
    x = 505.45

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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.