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Finding the Fourth Proportional to 546.07, 753.57 and 313.19

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Solution

The fourth proportional to 546.07, 753.57 and 313.19 is: 432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.07 : 753.57 = 313.19 : x
  2. Step 2: Convert to fraction form
    546.07/753.57 = 313.19/x
  3. Step 3: Cross multiply
    546.07x = 753.57 × 313.19
  4. Step 4: Simplify right side
    546.07x = 236,009.02
  5. Step 5: Solve for x
    x = 236,009.02/546.07
  6. Step 6: Final answer
    x = 432.20

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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.