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Finding the Fourth Proportional to 670.31, 1,004.66 and 284.75

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Solution

The fourth proportional to 670.31, 1,004.66 and 284.75 is: 426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.31 : 1,004.66 = 284.75 : x
  2. Step 2: Convert to fraction form
    670.31/1,004.66 = 284.75/x
  3. Step 3: Cross multiply
    670.31x = 1,004.66 × 284.75
  4. Step 4: Simplify right side
    670.31x = 286,075.51
  5. Step 5: Solve for x
    x = 286,075.51/670.31
  6. Step 6: Final answer
    x = 426.78

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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.