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Finding the Fourth Proportional to 472.37, 707.34 and 395.13

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Solution

The fourth proportional to 472.37, 707.34 and 395.13 is: 591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.37 : 707.34 = 395.13 : x
  2. Step 2: Convert to fraction form
    472.37/707.34 = 395.13/x
  3. Step 3: Cross multiply
    472.37x = 707.34 × 395.13
  4. Step 4: Simplify right side
    472.37x = 279,495.39
  5. Step 5: Solve for x
    x = 279,495.39/472.37
  6. Step 6: Final answer
    x = 591.69

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