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Finding the Fourth Proportional to 477.86, 716.89 and 283.01

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Solution

The fourth proportional to 477.86, 716.89 and 283.01 is: 424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.86 : 716.89 = 283.01 : x
  2. Step 2: Convert to fraction form
    477.86/716.89 = 283.01/x
  3. Step 3: Cross multiply
    477.86x = 716.89 × 283.01
  4. Step 4: Simplify right side
    477.86x = 202,887.04
  5. Step 5: Solve for x
    x = 202,887.04/477.86
  6. Step 6: Final answer
    x = 424.57

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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.