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Finding the Fourth Proportional to 628.96, 866.64 and 590.08

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Solution

The fourth proportional to 628.96, 866.64 and 590.08 is: 813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.96 : 866.64 = 590.08 : x
  2. Step 2: Convert to fraction form
    628.96/866.64 = 590.08/x
  3. Step 3: Cross multiply
    628.96x = 866.64 × 590.08
  4. Step 4: Simplify right side
    628.96x = 511,386.93
  5. Step 5: Solve for x
    x = 511,386.93/628.96
  6. Step 6: Final answer
    x = 813.07

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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.