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Finding the Fourth Proportional to 647.84, 894.24 and 438.08

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Solution

The fourth proportional to 647.84, 894.24 and 438.08 is: 604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.84 : 894.24 = 438.08 : x
  2. Step 2: Convert to fraction form
    647.84/894.24 = 438.08/x
  3. Step 3: Cross multiply
    647.84x = 894.24 × 438.08
  4. Step 4: Simplify right side
    647.84x = 391,748.66
  5. Step 5: Solve for x
    x = 391,748.66/647.84
  6. Step 6: Final answer
    x = 604.70

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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.