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Finding the Fourth Proportional to 347.47, 520.59 and 309.81

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Solution

The fourth proportional to 347.47, 520.59 and 309.81 is: 464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.47 : 520.59 = 309.81 : x
  2. Step 2: Convert to fraction form
    347.47/520.59 = 309.81/x
  3. Step 3: Cross multiply
    347.47x = 520.59 × 309.81
  4. Step 4: Simplify right side
    347.47x = 161,281.38
  5. Step 5: Solve for x
    x = 161,281.38/347.47
  6. Step 6: Final answer
    x = 464.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.