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Finding the Fourth Proportional to 647.08, 893.13 and 414.07

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Solution

The fourth proportional to 647.08, 893.13 and 414.07 is: 571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.08 : 893.13 = 414.07 : x
  2. Step 2: Convert to fraction form
    647.08/893.13 = 414.07/x
  3. Step 3: Cross multiply
    647.08x = 893.13 × 414.07
  4. Step 4: Simplify right side
    647.08x = 369,818.34
  5. Step 5: Solve for x
    x = 369,818.34/647.08
  6. Step 6: Final answer
    x = 571.52

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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.