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Finding the Fourth Proportional to 601.56, 830.52 and 415.38

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Solution

The fourth proportional to 601.56, 830.52 and 415.38 is: 573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.56 : 830.52 = 415.38 : x
  2. Step 2: Convert to fraction form
    601.56/830.52 = 415.38/x
  3. Step 3: Cross multiply
    601.56x = 830.52 × 415.38
  4. Step 4: Simplify right side
    601.56x = 344,981.40
  5. Step 5: Solve for x
    x = 344,981.40/601.56
  6. Step 6: Final answer
    x = 573.48

Related Problems

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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.