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Finding the Fourth Proportional to 590.06, 883.72 and 358.43

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Solution

The fourth proportional to 590.06, 883.72 and 358.43 is: 536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.06 : 883.72 = 358.43 : x
  2. Step 2: Convert to fraction form
    590.06/883.72 = 358.43/x
  3. Step 3: Cross multiply
    590.06x = 883.72 × 358.43
  4. Step 4: Simplify right side
    590.06x = 316,746.44
  5. Step 5: Solve for x
    x = 316,746.44/590.06
  6. Step 6: Final answer
    x = 536.81

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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.