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Finding the Fourth Proportional to 434.60, 599.97 and 302.00

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Solution

The fourth proportional to 434.60, 599.97 and 302.00 is: 416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.60 : 599.97 = 302.00 : x
  2. Step 2: Convert to fraction form
    434.60/599.97 = 302.00/x
  3. Step 3: Cross multiply
    434.60x = 599.97 × 302.00
  4. Step 4: Simplify right side
    434.60x = 181,187.94
  5. Step 5: Solve for x
    x = 181,187.94/434.60
  6. Step 6: Final answer
    x = 416.91

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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.