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Finding the Fourth Proportional to 468.24, 701.88 and 354

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Solution

The fourth proportional to 468.24, 701.88 and 354 is: 530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.24 : 701.88 = 354 : x
  2. Step 2: Convert to fraction form
    468.24/701.88 = 354/x
  3. Step 3: Cross multiply
    468.24x = 701.88 × 354
  4. Step 4: Simplify right side
    468.24x = 248,465.52
  5. Step 5: Solve for x
    x = 248,465.52/468.24
  6. Step 6: Final answer
    x = 530.64

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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.