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Finding the Fourth Proportional to 704.34, 972.33 and 468.68

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Solution

The fourth proportional to 704.34, 972.33 and 468.68 is: 647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.34 : 972.33 = 468.68 : x
  2. Step 2: Convert to fraction form
    704.34/972.33 = 468.68/x
  3. Step 3: Cross multiply
    704.34x = 972.33 × 468.68
  4. Step 4: Simplify right side
    704.34x = 455,714.06
  5. Step 5: Solve for x
    x = 455,714.06/704.34
  6. Step 6: Final answer
    x = 647.01

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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.