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Finding the Fourth Proportional to 573.88, 859.56 and 429.16

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Solution

The fourth proportional to 573.88, 859.56 and 429.16 is: 642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.88 : 859.56 = 429.16 : x
  2. Step 2: Convert to fraction form
    573.88/859.56 = 429.16/x
  3. Step 3: Cross multiply
    573.88x = 859.56 × 429.16
  4. Step 4: Simplify right side
    573.88x = 368,888.77
  5. Step 5: Solve for x
    x = 368,888.77/573.88
  6. Step 6: Final answer
    x = 642.80

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Why These Related Problems?

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