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Finding the Fourth Proportional to 590.41, 883.76 and 358.58

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Solution

The fourth proportional to 590.41, 883.76 and 358.58 is: 536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.41 : 883.76 = 358.58 : x
  2. Step 2: Convert to fraction form
    590.41/883.76 = 358.58/x
  3. Step 3: Cross multiply
    590.41x = 883.76 × 358.58
  4. Step 4: Simplify right side
    590.41x = 316,896.12
  5. Step 5: Solve for x
    x = 316,896.12/590.41
  6. Step 6: Final answer
    x = 536.74

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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.