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Finding the Fourth Proportional to 612.23, 917.65 and 304.30

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Solution

The fourth proportional to 612.23, 917.65 and 304.30 is: 456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.23 : 917.65 = 304.30 : x
  2. Step 2: Convert to fraction form
    612.23/917.65 = 304.30/x
  3. Step 3: Cross multiply
    612.23x = 917.65 × 304.30
  4. Step 4: Simplify right side
    612.23x = 279,240.90
  5. Step 5: Solve for x
    x = 279,240.90/612.23
  6. Step 6: Final answer
    x = 456.10

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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.