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Finding the Fourth Proportional to 594.16, 890.10 and 305.80

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Solution

The fourth proportional to 594.16, 890.10 and 305.80 is: 458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.16 : 890.10 = 305.80 : x
  2. Step 2: Convert to fraction form
    594.16/890.10 = 305.80/x
  3. Step 3: Cross multiply
    594.16x = 890.10 × 305.80
  4. Step 4: Simplify right side
    594.16x = 272,192.58
  5. Step 5: Solve for x
    x = 272,192.58/594.16
  6. Step 6: Final answer
    x = 458.11

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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.