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Finding the Fourth Proportional to 630.59, 946.04 and 191.84

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Solution

The fourth proportional to 630.59, 946.04 and 191.84 is: 287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.59 : 946.04 = 191.84 : x
  2. Step 2: Convert to fraction form
    630.59/946.04 = 191.84/x
  3. Step 3: Cross multiply
    630.59x = 946.04 × 191.84
  4. Step 4: Simplify right side
    630.59x = 181,482.62
  5. Step 5: Solve for x
    x = 181,482.62/630.59
  6. Step 6: Final answer
    x = 287.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.