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Finding the Fourth Proportional to 374.12, 560.12 and 328.00

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Solution

The fourth proportional to 374.12, 560.12 and 328.00 is: 491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.12 : 560.12 = 328.00 : x
  2. Step 2: Convert to fraction form
    374.12/560.12 = 328.00/x
  3. Step 3: Cross multiply
    374.12x = 560.12 × 328.00
  4. Step 4: Simplify right side
    374.12x = 183,717.37
  5. Step 5: Solve for x
    x = 183,717.37/374.12
  6. Step 6: Final answer
    x = 491.07

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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.