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Finding the Fourth Proportional to 604.16, 833.71 and 417.67

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Solution

The fourth proportional to 604.16, 833.71 and 417.67 is: 576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.16 : 833.71 = 417.67 : x
  2. Step 2: Convert to fraction form
    604.16/833.71 = 417.67/x
  3. Step 3: Cross multiply
    604.16x = 833.71 × 417.67
  4. Step 4: Simplify right side
    604.16x = 348,211.40
  5. Step 5: Solve for x
    x = 348,211.40/604.16
  6. Step 6: Final answer
    x = 576.36

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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.