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Finding the Fourth Proportional to 424.10, 634.77 and 302.00

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Solution

The fourth proportional to 424.10, 634.77 and 302.00 is: 452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.10 : 634.77 = 302.00 : x
  2. Step 2: Convert to fraction form
    424.10/634.77 = 302.00/x
  3. Step 3: Cross multiply
    424.10x = 634.77 × 302.00
  4. Step 4: Simplify right side
    424.10x = 191,697.37
  5. Step 5: Solve for x
    x = 191,697.37/424.10
  6. Step 6: Final answer
    x = 452.01

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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.