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Finding the Fourth Proportional to 612.16, 917.64 and 406.78

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Solution

The fourth proportional to 612.16, 917.64 and 406.78 is: 609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.16 : 917.64 = 406.78 : x
  2. Step 2: Convert to fraction form
    612.16/917.64 = 406.78/x
  3. Step 3: Cross multiply
    612.16x = 917.64 × 406.78
  4. Step 4: Simplify right side
    612.16x = 373,277.60
  5. Step 5: Solve for x
    x = 373,277.60/612.16
  6. Step 6: Final answer
    x = 609.77

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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.