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Finding the Fourth Proportional to 590.64, 885.62 and 524.02

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Solution

The fourth proportional to 590.64, 885.62 and 524.02 is: 785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.64 : 885.62 = 524.02 : x
  2. Step 2: Convert to fraction form
    590.64/885.62 = 524.02/x
  3. Step 3: Cross multiply
    590.64x = 885.62 × 524.02
  4. Step 4: Simplify right side
    590.64x = 464,082.59
  5. Step 5: Solve for x
    x = 464,082.59/590.64
  6. Step 6: Final answer
    x = 785.73

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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.