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Finding the Fourth Proportional to 469.60, 705.00 and 416.14

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Solution

The fourth proportional to 469.60, 705.00 and 416.14 is: 624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.60 : 705.00 = 416.14 : x
  2. Step 2: Convert to fraction form
    469.60/705.00 = 416.14/x
  3. Step 3: Cross multiply
    469.60x = 705.00 × 416.14
  4. Step 4: Simplify right side
    469.60x = 293,378.50
  5. Step 5: Solve for x
    x = 293,378.50/469.60
  6. Step 6: Final answer
    x = 624.74

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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.