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Finding the Fourth Proportional to 646.94, 892.82 and 437.15

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Solution

The fourth proportional to 646.94, 892.82 and 437.15 is: 603.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.94 : 892.82 = 437.15 : x
  2. Step 2: Convert to fraction form
    646.94/892.82 = 437.15/x
  3. Step 3: Cross multiply
    646.94x = 892.82 × 437.15
  4. Step 4: Simplify right side
    646.94x = 390,296.26
  5. Step 5: Solve for x
    x = 390,296.26/646.94
  6. Step 6: Final answer
    x = 603.30

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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.