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Finding the Fourth Proportional to 545.63, 753.01 and 312.80

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Solution

The fourth proportional to 545.63, 753.01 and 312.80 is: 431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.63 : 753.01 = 312.80 : x
  2. Step 2: Convert to fraction form
    545.63/753.01 = 312.80/x
  3. Step 3: Cross multiply
    545.63x = 753.01 × 312.80
  4. Step 4: Simplify right side
    545.63x = 235,536.98
  5. Step 5: Solve for x
    x = 235,536.98/545.63
  6. Step 6: Final answer
    x = 431.68

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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.