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Finding the Fourth Proportional to 670.57, 1,005.53 and 305.11

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Solution

The fourth proportional to 670.57, 1,005.53 and 305.11 is: 457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.57 : 1,005.53 = 305.11 : x
  2. Step 2: Convert to fraction form
    670.57/1,005.53 = 305.11/x
  3. Step 3: Cross multiply
    670.57x = 1,005.53 × 305.11
  4. Step 4: Simplify right side
    670.57x = 306,797.26
  5. Step 5: Solve for x
    x = 306,797.26/670.57
  6. Step 6: Final answer
    x = 457.52

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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.