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Finding the Fourth Proportional to 619.84, 925.97 and 474.04

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Solution

The fourth proportional to 619.84, 925.97 and 474.04 is: 708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.84 : 925.97 = 474.04 : x
  2. Step 2: Convert to fraction form
    619.84/925.97 = 474.04/x
  3. Step 3: Cross multiply
    619.84x = 925.97 × 474.04
  4. Step 4: Simplify right side
    619.84x = 438,946.82
  5. Step 5: Solve for x
    x = 438,946.82/619.84
  6. Step 6: Final answer
    x = 708.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.