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Finding the Fourth Proportional to 545, 752.14 and 312.18

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Solution

The fourth proportional to 545, 752.14 and 312.18 is: 430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    545 : 752.14 = 312.18 : x
  2. Step 2: Convert to fraction form
    545/752.14 = 312.18/x
  3. Step 3: Cross multiply
    545x = 752.14 × 312.18
  4. Step 4: Simplify right side
    545x = 234,803.07
  5. Step 5: Solve for x
    x = 234,803.07/545
  6. Step 6: Final answer
    x = 430.83

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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.