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Finding the Fourth Proportional to 302.64, 417.45 and 224.16

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Solution

The fourth proportional to 302.64, 417.45 and 224.16 is: 309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.64 : 417.45 = 224.16 : x
  2. Step 2: Convert to fraction form
    302.64/417.45 = 224.16/x
  3. Step 3: Cross multiply
    302.64x = 417.45 × 224.16
  4. Step 4: Simplify right side
    302.64x = 93,575.59
  5. Step 5: Solve for x
    x = 93,575.59/302.64
  6. Step 6: Final answer
    x = 309.20

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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.