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Finding the Fourth Proportional to 669.94, 924.52 and 421.38

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Solution

The fourth proportional to 669.94, 924.52 and 421.38 is: 581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.94 : 924.52 = 421.38 : x
  2. Step 2: Convert to fraction form
    669.94/924.52 = 421.38/x
  3. Step 3: Cross multiply
    669.94x = 924.52 × 421.38
  4. Step 4: Simplify right side
    669.94x = 389,576.06
  5. Step 5: Solve for x
    x = 389,576.06/669.94
  6. Step 6: Final answer
    x = 581.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.