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Finding the Fourth Proportional to 472.40, 651.93 and 285.86

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Solution

The fourth proportional to 472.40, 651.93 and 285.86 is: 394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.40 : 651.93 = 285.86 : x
  2. Step 2: Convert to fraction form
    472.40/651.93 = 285.86/x
  3. Step 3: Cross multiply
    472.40x = 651.93 × 285.86
  4. Step 4: Simplify right side
    472.40x = 186,356.02
  5. Step 5: Solve for x
    x = 186,356.02/472.40
  6. Step 6: Final answer
    x = 394.49

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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.