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Finding the Fourth Proportional to 575.63, 794.37 and 313.65

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Solution

The fourth proportional to 575.63, 794.37 and 313.65 is: 432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.63 : 794.37 = 313.65 : x
  2. Step 2: Convert to fraction form
    575.63/794.37 = 313.65/x
  3. Step 3: Cross multiply
    575.63x = 794.37 × 313.65
  4. Step 4: Simplify right side
    575.63x = 249,154.15
  5. Step 5: Solve for x
    x = 249,154.15/575.63
  6. Step 6: Final answer
    x = 432.84

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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.