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Finding the Fourth Proportional to 368.40, 549.70 and 360.12

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Solution

The fourth proportional to 368.40, 549.70 and 360.12 is: 537.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.40 : 549.70 = 360.12 : x
  2. Step 2: Convert to fraction form
    368.40/549.70 = 360.12/x
  3. Step 3: Cross multiply
    368.40x = 549.70 × 360.12
  4. Step 4: Simplify right side
    368.40x = 197,957.96
  5. Step 5: Solve for x
    x = 197,957.96/368.40
  6. Step 6: Final answer
    x = 537.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.