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Finding the Fourth Proportional to 302.41, 417.09 and 253.20

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Solution

The fourth proportional to 302.41, 417.09 and 253.20 is: 349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.41 : 417.09 = 253.20 : x
  2. Step 2: Convert to fraction form
    302.41/417.09 = 253.20/x
  3. Step 3: Cross multiply
    302.41x = 417.09 × 253.20
  4. Step 4: Simplify right side
    302.41x = 105,607.19
  5. Step 5: Solve for x
    x = 105,607.19/302.41
  6. Step 6: Final answer
    x = 349.22

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Why These Related Problems?

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