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Finding the Fourth Proportional to 465.12, 697.32 and 356.64

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Solution

The fourth proportional to 465.12, 697.32 and 356.64 is: 534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.12 : 697.32 = 356.64 : x
  2. Step 2: Convert to fraction form
    465.12/697.32 = 356.64/x
  3. Step 3: Cross multiply
    465.12x = 697.32 × 356.64
  4. Step 4: Simplify right side
    465.12x = 248,692.20
  5. Step 5: Solve for x
    x = 248,692.20/465.12
  6. Step 6: Final answer
    x = 534.68

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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.