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Finding the Fourth Proportional to 501.94, 693.66 and 429.04

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Solution

The fourth proportional to 501.94, 693.66 and 429.04 is: 592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.94 : 693.66 = 429.04 : x
  2. Step 2: Convert to fraction form
    501.94/693.66 = 429.04/x
  3. Step 3: Cross multiply
    501.94x = 693.66 × 429.04
  4. Step 4: Simplify right side
    501.94x = 297,604.42
  5. Step 5: Solve for x
    x = 297,604.42/501.94
  6. Step 6: Final answer
    x = 592.91

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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.