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Finding the Fourth Proportional to 405.60, 608.40 and 302.88

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Solution

The fourth proportional to 405.60, 608.40 and 302.88 is: 454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.60 : 608.40 = 302.88 : x
  2. Step 2: Convert to fraction form
    405.60/608.40 = 302.88/x
  3. Step 3: Cross multiply
    405.60x = 608.40 × 302.88
  4. Step 4: Simplify right side
    405.60x = 184,272.19
  5. Step 5: Solve for x
    x = 184,272.19/405.60
  6. Step 6: Final answer
    x = 454.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.