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Finding the Fourth Proportional to 704.52, 972.38 and 468.05

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Solution

The fourth proportional to 704.52, 972.38 and 468.05 is: 646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.52 : 972.38 = 468.05 : x
  2. Step 2: Convert to fraction form
    704.52/972.38 = 468.05/x
  3. Step 3: Cross multiply
    704.52x = 972.38 × 468.05
  4. Step 4: Simplify right side
    704.52x = 455,118.77
  5. Step 5: Solve for x
    x = 455,118.77/704.52
  6. Step 6: Final answer
    x = 646.00

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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.