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Finding the Fourth Proportional to 590.72, 883.98 and 359.52

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Solution

The fourth proportional to 590.72, 883.98 and 359.52 is: 538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.72 : 883.98 = 359.52 : x
  2. Step 2: Convert to fraction form
    590.72/883.98 = 359.52/x
  3. Step 3: Cross multiply
    590.72x = 883.98 × 359.52
  4. Step 4: Simplify right side
    590.72x = 317,808.49
  5. Step 5: Solve for x
    x = 317,808.49/590.72
  6. Step 6: Final answer
    x = 538.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.