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Finding the Fourth Proportional to 595.71, 890.00 and 575.25

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Solution

The fourth proportional to 595.71, 890.00 and 575.25 is: 859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.71 : 890.00 = 575.25 : x
  2. Step 2: Convert to fraction form
    595.71/890.00 = 575.25/x
  3. Step 3: Cross multiply
    595.71x = 890.00 × 575.25
  4. Step 4: Simplify right side
    595.71x = 511,969.62
  5. Step 5: Solve for x
    x = 511,969.62/595.71
  6. Step 6: Final answer
    x = 859.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.