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Finding the Fourth Proportional to 647.74, 893.10 and 414.64

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Solution

The fourth proportional to 647.74, 893.10 and 414.64 is: 571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.74 : 893.10 = 414.64 : x
  2. Step 2: Convert to fraction form
    647.74/893.10 = 414.64/x
  3. Step 3: Cross multiply
    647.74x = 893.10 × 414.64
  4. Step 4: Simplify right side
    647.74x = 370,314.98
  5. Step 5: Solve for x
    x = 370,314.98/647.74
  6. Step 6: Final answer
    x = 571.70

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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.