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Finding the Fourth Proportional to 477.90, 716.34 and 313.31

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Solution

The fourth proportional to 477.90, 716.34 and 313.31 is: 469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.90 : 716.34 = 313.31 : x
  2. Step 2: Convert to fraction form
    477.90/716.34 = 313.31/x
  3. Step 3: Cross multiply
    477.90x = 716.34 × 313.31
  4. Step 4: Simplify right side
    477.90x = 224,436.49
  5. Step 5: Solve for x
    x = 224,436.49/477.90
  6. Step 6: Final answer
    x = 469.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.