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Finding the Fourth Proportional to 465.32, 697.57 and 397.28

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Solution

The fourth proportional to 465.32, 697.57 and 397.28 is: 595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.32 : 697.57 = 397.28 : x
  2. Step 2: Convert to fraction form
    465.32/697.57 = 397.28/x
  3. Step 3: Cross multiply
    465.32x = 697.57 × 397.28
  4. Step 4: Simplify right side
    465.32x = 277,130.61
  5. Step 5: Solve for x
    x = 277,130.61/465.32
  6. Step 6: Final answer
    x = 595.57

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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.