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Finding the Fourth Proportional to 590.05, 812.59 and 577.32

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Solution

The fourth proportional to 590.05, 812.59 and 577.32 is: 795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.05 : 812.59 = 577.32 : x
  2. Step 2: Convert to fraction form
    590.05/812.59 = 577.32/x
  3. Step 3: Cross multiply
    590.05x = 812.59 × 577.32
  4. Step 4: Simplify right side
    590.05x = 469,124.46
  5. Step 5: Solve for x
    x = 469,124.46/590.05
  6. Step 6: Final answer
    x = 795.06

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