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Finding the Fourth Proportional to 590.13, 815.90 and 564.32

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Solution

The fourth proportional to 590.13, 815.90 and 564.32 is: 780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.13 : 815.90 = 564.32 : x
  2. Step 2: Convert to fraction form
    590.13/815.90 = 564.32/x
  3. Step 3: Cross multiply
    590.13x = 815.90 × 564.32
  4. Step 4: Simplify right side
    590.13x = 460,421.79
  5. Step 5: Solve for x
    x = 460,421.79/590.13
  6. Step 6: Final answer
    x = 780.20

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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.