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Finding the Fourth Proportional to 612.14, 918.30 and 304.00

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Solution

The fourth proportional to 612.14, 918.30 and 304.00 is: 456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.14 : 918.30 = 304.00 : x
  2. Step 2: Convert to fraction form
    612.14/918.30 = 304.00/x
  3. Step 3: Cross multiply
    612.14x = 918.30 × 304.00
  4. Step 4: Simplify right side
    612.14x = 279,162.04
  5. Step 5: Solve for x
    x = 279,162.04/612.14
  6. Step 6: Final answer
    x = 456.05

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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.