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Finding the Fourth Proportional to 545.48, 752.74 and 302.93

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Solution

The fourth proportional to 545.48, 752.74 and 302.93 is: 418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.48 : 752.74 = 302.93 : x
  2. Step 2: Convert to fraction form
    545.48/752.74 = 302.93/x
  3. Step 3: Cross multiply
    545.48x = 752.74 × 302.93
  4. Step 4: Simplify right side
    545.48x = 228,022.25
  5. Step 5: Solve for x
    x = 228,022.25/545.48
  6. Step 6: Final answer
    x = 418.03

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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.