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Finding the Fourth Proportional to 603.38, 831.84 and 414.32

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Solution

The fourth proportional to 603.38, 831.84 and 414.32 is: 571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.38 : 831.84 = 414.32 : x
  2. Step 2: Convert to fraction form
    603.38/831.84 = 414.32/x
  3. Step 3: Cross multiply
    603.38x = 831.84 × 414.32
  4. Step 4: Simplify right side
    603.38x = 344,647.95
  5. Step 5: Solve for x
    x = 344,647.95/603.38
  6. Step 6: Final answer
    x = 571.20

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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.