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Finding the Fourth Proportional to 302.65, 417.28 and 250.40

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Solution

The fourth proportional to 302.65, 417.28 and 250.40 is: 345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.65 : 417.28 = 250.40 : x
  2. Step 2: Convert to fraction form
    302.65/417.28 = 250.40/x
  3. Step 3: Cross multiply
    302.65x = 417.28 × 250.40
  4. Step 4: Simplify right side
    302.65x = 104,486.91
  5. Step 5: Solve for x
    x = 104,486.91/302.65
  6. Step 6: Final answer
    x = 345.24

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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.