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Finding the Fourth Proportional to 545.76, 753.00 and 336.10

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Solution

The fourth proportional to 545.76, 753.00 and 336.10 is: 463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 753.00 = 336.10 : x
  2. Step 2: Convert to fraction form
    545.76/753.00 = 336.10/x
  3. Step 3: Cross multiply
    545.76x = 753.00 × 336.10
  4. Step 4: Simplify right side
    545.76x = 253,081.57
  5. Step 5: Solve for x
    x = 253,081.57/545.76
  6. Step 6: Final answer
    x = 463.72

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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.