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Finding the Fourth Proportional to 678.64, 936.30 and 591.16

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Solution

The fourth proportional to 678.64, 936.30 and 591.16 is: 815.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.64 : 936.30 = 591.16 : x
  2. Step 2: Convert to fraction form
    678.64/936.30 = 591.16/x
  3. Step 3: Cross multiply
    678.64x = 936.30 × 591.16
  4. Step 4: Simplify right side
    678.64x = 553,503.11
  5. Step 5: Solve for x
    x = 553,503.11/678.64
  6. Step 6: Final answer
    x = 815.61

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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.