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Finding the Fourth Proportional to 590, 885.24 and 316

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Solution

The fourth proportional to 590, 885.24 and 316 is: 474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    590 : 885.24 = 316 : x
  2. Step 2: Convert to fraction form
    590/885.24 = 316/x
  3. Step 3: Cross multiply
    590x = 885.24 × 316
  4. Step 4: Simplify right side
    590x = 279,735.84
  5. Step 5: Solve for x
    x = 279,735.84/590
  6. Step 6: Final answer
    x = 474.13

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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.