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Finding the Fourth Proportional to 465.60, 697.47 and 350.16

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Solution

The fourth proportional to 465.60, 697.47 and 350.16 is: 524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.60 : 697.47 = 350.16 : x
  2. Step 2: Convert to fraction form
    465.60/697.47 = 350.16/x
  3. Step 3: Cross multiply
    465.60x = 697.47 × 350.16
  4. Step 4: Simplify right side
    465.60x = 244,226.10
  5. Step 5: Solve for x
    x = 244,226.10/465.60
  6. Step 6: Final answer
    x = 524.54

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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.