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Finding the Fourth Proportional to 440.64, 607.68 and 382.08

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Solution

The fourth proportional to 440.64, 607.68 and 382.08 is: 526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.64 : 607.68 = 382.08 : x
  2. Step 2: Convert to fraction form
    440.64/607.68 = 382.08/x
  3. Step 3: Cross multiply
    440.64x = 607.68 × 382.08
  4. Step 4: Simplify right side
    440.64x = 232,182.37
  5. Step 5: Solve for x
    x = 232,182.37/440.64
  6. Step 6: Final answer
    x = 526.92

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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.