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Finding the Fourth Proportional to 761, 1,050 and 429.36

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Solution

The fourth proportional to 761, 1,050 and 429.36 is: 592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    761 : 1,050 = 429.36 : x
  2. Step 2: Convert to fraction form
    761/1,050 = 429.36/x
  3. Step 3: Cross multiply
    761x = 1,050 × 429.36
  4. Step 4: Simplify right side
    761x = 450,828
  5. Step 5: Solve for x
    x = 450,828/761
  6. Step 6: Final answer
    x = 592.42

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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.