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Finding the Fourth Proportional to 374.24, 558.74 and 352.40

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Solution

The fourth proportional to 374.24, 558.74 and 352.40 is: 526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.24 : 558.74 = 352.40 : x
  2. Step 2: Convert to fraction form
    374.24/558.74 = 352.40/x
  3. Step 3: Cross multiply
    374.24x = 558.74 × 352.40
  4. Step 4: Simplify right side
    374.24x = 196,899.98
  5. Step 5: Solve for x
    x = 196,899.98/374.24
  6. Step 6: Final answer
    x = 526.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.