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Finding the Fourth Proportional to 594.12, 889.86 and 456.15

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Solution

The fourth proportional to 594.12, 889.86 and 456.15 is: 683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.12 : 889.86 = 456.15 : x
  2. Step 2: Convert to fraction form
    594.12/889.86 = 456.15/x
  3. Step 3: Cross multiply
    594.12x = 889.86 × 456.15
  4. Step 4: Simplify right side
    594.12x = 405,909.64
  5. Step 5: Solve for x
    x = 405,909.64/594.12
  6. Step 6: Final answer
    x = 683.21

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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.