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Finding the Fourth Proportional to 435.04, 600.48 and 414.40

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Solution

The fourth proportional to 435.04, 600.48 and 414.40 is: 571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.04 : 600.48 = 414.40 : x
  2. Step 2: Convert to fraction form
    435.04/600.48 = 414.40/x
  3. Step 3: Cross multiply
    435.04x = 600.48 × 414.40
  4. Step 4: Simplify right side
    435.04x = 248,838.91
  5. Step 5: Solve for x
    x = 248,838.91/435.04
  6. Step 6: Final answer
    x = 571.99

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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.