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Finding the Fourth Proportional to 545.09, 752.36 and 368.10

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Solution

The fourth proportional to 545.09, 752.36 and 368.10 is: 508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.09 : 752.36 = 368.10 : x
  2. Step 2: Convert to fraction form
    545.09/752.36 = 368.10/x
  3. Step 3: Cross multiply
    545.09x = 752.36 × 368.10
  4. Step 4: Simplify right side
    545.09x = 276,941.88
  5. Step 5: Solve for x
    x = 276,941.88/545.09
  6. Step 6: Final answer
    x = 508.07

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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.