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Finding the Fourth Proportional to 429, 592 and 242.46

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Solution

The fourth proportional to 429, 592 and 242.46 is: 334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429 : 592 = 242.46 : x
  2. Step 2: Convert to fraction form
    429/592 = 242.46/x
  3. Step 3: Cross multiply
    429x = 592 × 242.46
  4. Step 4: Simplify right side
    429x = 143,536.32
  5. Step 5: Solve for x
    x = 143,536.32/429
  6. Step 6: Final answer
    x = 334.58

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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.