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Finding the Fourth Proportional to 572.64, 857.84 and 457.32

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Solution

The fourth proportional to 572.64, 857.84 and 457.32 is: 685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.64 : 857.84 = 457.32 : x
  2. Step 2: Convert to fraction form
    572.64/857.84 = 457.32/x
  3. Step 3: Cross multiply
    572.64x = 857.84 × 457.32
  4. Step 4: Simplify right side
    572.64x = 392,307.39
  5. Step 5: Solve for x
    x = 392,307.39/572.64
  6. Step 6: Final answer
    x = 685.09

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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.