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Finding the Fourth Proportional to 594.22, 891.27 and 430.46

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Solution

The fourth proportional to 594.22, 891.27 and 430.46 is: 645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.22 : 891.27 = 430.46 : x
  2. Step 2: Convert to fraction form
    594.22/891.27 = 430.46/x
  3. Step 3: Cross multiply
    594.22x = 891.27 × 430.46
  4. Step 4: Simplify right side
    594.22x = 383,656.08
  5. Step 5: Solve for x
    x = 383,656.08/594.22
  6. Step 6: Final answer
    x = 645.65

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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.