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Finding the Fourth Proportional to 601.44, 829.81 and 414.93

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Solution

The fourth proportional to 601.44, 829.81 and 414.93 is: 572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.44 : 829.81 = 414.93 : x
  2. Step 2: Convert to fraction form
    601.44/829.81 = 414.93/x
  3. Step 3: Cross multiply
    601.44x = 829.81 × 414.93
  4. Step 4: Simplify right side
    601.44x = 344,313.06
  5. Step 5: Solve for x
    x = 344,313.06/601.44
  6. Step 6: Final answer
    x = 572.48

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.