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Finding the Fourth Proportional to 670.01, 1,004.63 and 304.35

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Solution

The fourth proportional to 670.01, 1,004.63 and 304.35 is: 456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.01 : 1,004.63 = 304.35 : x
  2. Step 2: Convert to fraction form
    670.01/1,004.63 = 304.35/x
  3. Step 3: Cross multiply
    670.01x = 1,004.63 × 304.35
  4. Step 4: Simplify right side
    670.01x = 305,759.14
  5. Step 5: Solve for x
    x = 305,759.14/670.01
  6. Step 6: Final answer
    x = 456.35

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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.