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Finding the Fourth Proportional to 602.69, 904.16 and 237.49

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Solution

The fourth proportional to 602.69, 904.16 and 237.49 is: 356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.69 : 904.16 = 237.49 : x
  2. Step 2: Convert to fraction form
    602.69/904.16 = 237.49/x
  3. Step 3: Cross multiply
    602.69x = 904.16 × 237.49
  4. Step 4: Simplify right side
    602.69x = 214,727.77
  5. Step 5: Solve for x
    x = 214,727.77/602.69
  6. Step 6: Final answer
    x = 356.28

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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.