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Finding the Fourth Proportional to 575.86, 794.71 and 313.87

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Solution

The fourth proportional to 575.86, 794.71 and 313.87 is: 433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.86 : 794.71 = 313.87 : x
  2. Step 2: Convert to fraction form
    575.86/794.71 = 313.87/x
  3. Step 3: Cross multiply
    575.86x = 794.71 × 313.87
  4. Step 4: Simplify right side
    575.86x = 249,435.63
  5. Step 5: Solve for x
    x = 249,435.63/575.86
  6. Step 6: Final answer
    x = 433.16

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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.