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Finding the Fourth Proportional to 594.26, 889.28 and 429.92

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Solution

The fourth proportional to 594.26, 889.28 and 429.92 is: 643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.26 : 889.28 = 429.92 : x
  2. Step 2: Convert to fraction form
    594.26/889.28 = 429.92/x
  3. Step 3: Cross multiply
    594.26x = 889.28 × 429.92
  4. Step 4: Simplify right side
    594.26x = 382,312.66
  5. Step 5: Solve for x
    x = 382,312.66/594.26
  6. Step 6: Final answer
    x = 643.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.