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Finding the Fourth Proportional to 417.64, 576.04 and 307.12

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Solution

The fourth proportional to 417.64, 576.04 and 307.12 is: 423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.64 : 576.04 = 307.12 : x
  2. Step 2: Convert to fraction form
    417.64/576.04 = 307.12/x
  3. Step 3: Cross multiply
    417.64x = 576.04 × 307.12
  4. Step 4: Simplify right side
    417.64x = 176,913.40
  5. Step 5: Solve for x
    x = 176,913.40/417.64
  6. Step 6: Final answer
    x = 423.60

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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.