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Finding the Fourth Proportional to 374.88, 560.88 and 320.16

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Solution

The fourth proportional to 374.88, 560.88 and 320.16 is: 479.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.88 : 560.88 = 320.16 : x
  2. Step 2: Convert to fraction form
    374.88/560.88 = 320.16/x
  3. Step 3: Cross multiply
    374.88x = 560.88 × 320.16
  4. Step 4: Simplify right side
    374.88x = 179,571.34
  5. Step 5: Solve for x
    x = 179,571.34/374.88
  6. Step 6: Final answer
    x = 479.01

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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.