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Finding the Fourth Proportional to 356.24, 534.54 and 302.05

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Solution

The fourth proportional to 356.24, 534.54 and 302.05 is: 453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.24 : 534.54 = 302.05 : x
  2. Step 2: Convert to fraction form
    356.24/534.54 = 302.05/x
  3. Step 3: Cross multiply
    356.24x = 534.54 × 302.05
  4. Step 4: Simplify right side
    356.24x = 161,457.81
  5. Step 5: Solve for x
    x = 161,457.81/356.24
  6. Step 6: Final answer
    x = 453.23

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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.