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Finding the Fourth Proportional to 595.26, 889.68 and 456.84

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Solution

The fourth proportional to 595.26, 889.68 and 456.84 is: 682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.26 : 889.68 = 456.84 : x
  2. Step 2: Convert to fraction form
    595.26/889.68 = 456.84/x
  3. Step 3: Cross multiply
    595.26x = 889.68 × 456.84
  4. Step 4: Simplify right side
    595.26x = 406,441.41
  5. Step 5: Solve for x
    x = 406,441.41/595.26
  6. Step 6: Final answer
    x = 682.80

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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.