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Finding the Fourth Proportional to 525.02, 724.88 and 328.86

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Solution

The fourth proportional to 525.02, 724.88 and 328.86 is: 454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.02 : 724.88 = 328.86 : x
  2. Step 2: Convert to fraction form
    525.02/724.88 = 328.86/x
  3. Step 3: Cross multiply
    525.02x = 724.88 × 328.86
  4. Step 4: Simplify right side
    525.02x = 238,384.86
  5. Step 5: Solve for x
    x = 238,384.86/525.02
  6. Step 6: Final answer
    x = 454.05

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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.