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Finding the Fourth Proportional to 602.23, 903.48 and 466.96

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Solution

The fourth proportional to 602.23, 903.48 and 466.96 is: 700.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.23 : 903.48 = 466.96 : x
  2. Step 2: Convert to fraction form
    602.23/903.48 = 466.96/x
  3. Step 3: Cross multiply
    602.23x = 903.48 × 466.96
  4. Step 4: Simplify right side
    602.23x = 421,889.02
  5. Step 5: Solve for x
    x = 421,889.02/602.23
  6. Step 6: Final answer
    x = 700.54

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1.5x scale

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.