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Finding the Fourth Proportional to 575.82, 794.64 and 313.86

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Solution

The fourth proportional to 575.82, 794.64 and 313.86 is: 433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.82 : 794.64 = 313.86 : x
  2. Step 2: Convert to fraction form
    575.82/794.64 = 313.86/x
  3. Step 3: Cross multiply
    575.82x = 794.64 × 313.86
  4. Step 4: Simplify right side
    575.82x = 249,401.74
  5. Step 5: Solve for x
    x = 249,401.74/575.82
  6. Step 6: Final answer
    x = 433.12

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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.