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Finding the Fourth Proportional to 292.01, 435.88 and 270.32

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Solution

The fourth proportional to 292.01, 435.88 and 270.32 is: 403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.01 : 435.88 = 270.32 : x
  2. Step 2: Convert to fraction form
    292.01/435.88 = 270.32/x
  3. Step 3: Cross multiply
    292.01x = 435.88 × 270.32
  4. Step 4: Simplify right side
    292.01x = 117,827.08
  5. Step 5: Solve for x
    x = 117,827.08/292.01
  6. Step 6: Final answer
    x = 403.50

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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.