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Finding the Fourth Proportional to 465.84, 697.32 and 416.88

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Solution

The fourth proportional to 465.84, 697.32 and 416.88 is: 624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 697.32 = 416.88 : x
  2. Step 2: Convert to fraction form
    465.84/697.32 = 416.88/x
  3. Step 3: Cross multiply
    465.84x = 697.32 × 416.88
  4. Step 4: Simplify right side
    465.84x = 290,698.76
  5. Step 5: Solve for x
    x = 290,698.76/465.84
  6. Step 6: Final answer
    x = 624.03

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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.