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Finding the Fourth Proportional to 601.65, 829.28 and 590.72

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Solution

The fourth proportional to 601.65, 829.28 and 590.72 is: 814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.65 : 829.28 = 590.72 : x
  2. Step 2: Convert to fraction form
    601.65/829.28 = 590.72/x
  3. Step 3: Cross multiply
    601.65x = 829.28 × 590.72
  4. Step 4: Simplify right side
    601.65x = 489,865.18
  5. Step 5: Solve for x
    x = 489,865.18/601.65
  6. Step 6: Final answer
    x = 814.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.