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Finding the Fourth Proportional to 572.84, 857.64 and 380.08

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Solution

The fourth proportional to 572.84, 857.64 and 380.08 is: 569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.84 : 857.64 = 380.08 : x
  2. Step 2: Convert to fraction form
    572.84/857.64 = 380.08/x
  3. Step 3: Cross multiply
    572.84x = 857.64 × 380.08
  4. Step 4: Simplify right side
    572.84x = 325,971.81
  5. Step 5: Solve for x
    x = 325,971.81/572.84
  6. Step 6: Final answer
    x = 569.05

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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.