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Finding the Fourth Proportional to 601, 896.10 and 590.07

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Solution

The fourth proportional to 601, 896.10 and 590.07 is: 879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    601 : 896.10 = 590.07 : x
  2. Step 2: Convert to fraction form
    601/896.10 = 590.07/x
  3. Step 3: Cross multiply
    601x = 896.10 × 590.07
  4. Step 4: Simplify right side
    601x = 528,761.73
  5. Step 5: Solve for x
    x = 528,761.73/601
  6. Step 6: Final answer
    x = 879.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.