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Finding the Fourth Proportional to 612.50, 917.64 and 419.18

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Solution

The fourth proportional to 612.50, 917.64 and 419.18 is: 628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.50 : 917.64 = 419.18 : x
  2. Step 2: Convert to fraction form
    612.50/917.64 = 419.18/x
  3. Step 3: Cross multiply
    612.50x = 917.64 × 419.18
  4. Step 4: Simplify right side
    612.50x = 384,651.75
  5. Step 5: Solve for x
    x = 384,651.75/612.50
  6. Step 6: Final answer
    x = 628.01

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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.