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Finding the Fourth Proportional to 592.80, 882.96 and 590.16

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Solution

The fourth proportional to 592.80, 882.96 and 590.16 is: 879.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.80 : 882.96 = 590.16 : x
  2. Step 2: Convert to fraction form
    592.80/882.96 = 590.16/x
  3. Step 3: Cross multiply
    592.80x = 882.96 × 590.16
  4. Step 4: Simplify right side
    592.80x = 521,087.67
  5. Step 5: Solve for x
    x = 521,087.67/592.80
  6. Step 6: Final answer
    x = 879.03

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Why These Related Problems?

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