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Finding the Fourth Proportional to 594.95, 890.46 and 320.36

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Solution

The fourth proportional to 594.95, 890.46 and 320.36 is: 479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.95 : 890.46 = 320.36 : x
  2. Step 2: Convert to fraction form
    594.95/890.46 = 320.36/x
  3. Step 3: Cross multiply
    594.95x = 890.46 × 320.36
  4. Step 4: Simplify right side
    594.95x = 285,263.31
  5. Step 5: Solve for x
    x = 285,263.31/594.95
  6. Step 6: Final answer
    x = 479.48

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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.