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Finding the Fourth Proportional to 647.99, 894.53 and 412.19

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Solution

The fourth proportional to 647.99, 894.53 and 412.19 is: 569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.99 : 894.53 = 412.19 : x
  2. Step 2: Convert to fraction form
    647.99/894.53 = 412.19/x
  3. Step 3: Cross multiply
    647.99x = 894.53 × 412.19
  4. Step 4: Simplify right side
    647.99x = 368,716.32
  5. Step 5: Solve for x
    x = 368,716.32/647.99
  6. Step 6: Final answer
    x = 569.02

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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.