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Finding the Fourth Proportional to 575.85, 794.68 and 313.87

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Solution

The fourth proportional to 575.85, 794.68 and 313.87 is: 433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.85 : 794.68 = 313.87 : x
  2. Step 2: Convert to fraction form
    575.85/794.68 = 313.87/x
  3. Step 3: Cross multiply
    575.85x = 794.68 × 313.87
  4. Step 4: Simplify right side
    575.85x = 249,423.44
  5. Step 5: Solve for x
    x = 249,423.44/575.85
  6. Step 6: Final answer
    x = 433.14

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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.