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Finding the Fourth Proportional to 546, 753.51 and 313.14

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Solution

The fourth proportional to 546, 753.51 and 313.14 is: 432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546 : 753.51 = 313.14 : x
  2. Step 2: Convert to fraction form
    546/753.51 = 313.14/x
  3. Step 3: Cross multiply
    546x = 753.51 × 313.14
  4. Step 4: Simplify right side
    546x = 235,954.12
  5. Step 5: Solve for x
    x = 235,954.12/546
  6. Step 6: Final answer
    x = 432.15

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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.