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Finding the Fourth Proportional to 435.60, 597.60 and 403.20

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Solution

The fourth proportional to 435.60, 597.60 and 403.20 is: 553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.60 : 597.60 = 403.20 : x
  2. Step 2: Convert to fraction form
    435.60/597.60 = 403.20/x
  3. Step 3: Cross multiply
    435.60x = 597.60 × 403.20
  4. Step 4: Simplify right side
    435.60x = 240,952.32
  5. Step 5: Solve for x
    x = 240,952.32/435.60
  6. Step 6: Final answer
    x = 553.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.