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Finding the Fourth Proportional to 607.84, 910.88 and 376.80

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Solution

The fourth proportional to 607.84, 910.88 and 376.80 is: 564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.84 : 910.88 = 376.80 : x
  2. Step 2: Convert to fraction form
    607.84/910.88 = 376.80/x
  3. Step 3: Cross multiply
    607.84x = 910.88 × 376.80
  4. Step 4: Simplify right side
    607.84x = 343,219.58
  5. Step 5: Solve for x
    x = 343,219.58/607.84
  6. Step 6: Final answer
    x = 564.65

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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.