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Finding the Fourth Proportional to 575.66, 794.40 and 313.67

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Solution

The fourth proportional to 575.66, 794.40 and 313.67 is: 432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.66 : 794.40 = 313.67 : x
  2. Step 2: Convert to fraction form
    575.66/794.40 = 313.67/x
  3. Step 3: Cross multiply
    575.66x = 794.40 × 313.67
  4. Step 4: Simplify right side
    575.66x = 249,179.45
  5. Step 5: Solve for x
    x = 249,179.45/575.66
  6. Step 6: Final answer
    x = 432.86

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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.