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Finding the Fourth Proportional to 434.69, 599.90 and 287.07

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Solution

The fourth proportional to 434.69, 599.90 and 287.07 is: 396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.69 : 599.90 = 287.07 : x
  2. Step 2: Convert to fraction form
    434.69/599.90 = 287.07/x
  3. Step 3: Cross multiply
    434.69x = 599.90 × 287.07
  4. Step 4: Simplify right side
    434.69x = 172,210.29
  5. Step 5: Solve for x
    x = 172,210.29/434.69
  6. Step 6: Final answer
    x = 396.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.