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Finding the Fourth Proportional to 646.47, 893.10 and 425.94

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Solution

The fourth proportional to 646.47, 893.10 and 425.94 is: 588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.47 : 893.10 = 425.94 : x
  2. Step 2: Convert to fraction form
    646.47/893.10 = 425.94/x
  3. Step 3: Cross multiply
    646.47x = 893.10 × 425.94
  4. Step 4: Simplify right side
    646.47x = 380,407.01
  5. Step 5: Solve for x
    x = 380,407.01/646.47
  6. Step 6: Final answer
    x = 588.44

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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.