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Finding the Fourth Proportional to 607.24, 838 and 345.24

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Solution

The fourth proportional to 607.24, 838 and 345.24 is: 476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.24 : 838 = 345.24 : x
  2. Step 2: Convert to fraction form
    607.24/838 = 345.24/x
  3. Step 3: Cross multiply
    607.24x = 838 × 345.24
  4. Step 4: Simplify right side
    607.24x = 289,311.12
  5. Step 5: Solve for x
    x = 289,311.12/607.24
  6. Step 6: Final answer
    x = 476.44

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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.