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Finding the Fourth Proportional to 582, 803.14 and 320

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Solution

The fourth proportional to 582, 803.14 and 320 is: 441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    582 : 803.14 = 320 : x
  2. Step 2: Convert to fraction form
    582/803.14 = 320/x
  3. Step 3: Cross multiply
    582x = 803.14 × 320
  4. Step 4: Simplify right side
    582x = 257,004.80
  5. Step 5: Solve for x
    x = 257,004.80/582
  6. Step 6: Final answer
    x = 441.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.