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Finding the Fourth Proportional to 594.12, 896.91 and 590.88

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Solution

The fourth proportional to 594.12, 896.91 and 590.88 is: 892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.12 : 896.91 = 590.88 : x
  2. Step 2: Convert to fraction form
    594.12/896.91 = 590.88/x
  3. Step 3: Cross multiply
    594.12x = 896.91 × 590.88
  4. Step 4: Simplify right side
    594.12x = 529,966.18
  5. Step 5: Solve for x
    x = 529,966.18/594.12
  6. Step 6: Final answer
    x = 892.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.