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Finding the Fourth Proportional to 678.16, 1,017.41 and 369.93

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Solution

The fourth proportional to 678.16, 1,017.41 and 369.93 is: 554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.16 : 1,017.41 = 369.93 : x
  2. Step 2: Convert to fraction form
    678.16/1,017.41 = 369.93/x
  3. Step 3: Cross multiply
    678.16x = 1,017.41 × 369.93
  4. Step 4: Simplify right side
    678.16x = 376,368.63
  5. Step 5: Solve for x
    x = 376,368.63/678.16
  6. Step 6: Final answer
    x = 554.99

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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.