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Finding the Fourth Proportional to 572.04, 859.75 and 475.16

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Solution

The fourth proportional to 572.04, 859.75 and 475.16 is: 714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.04 : 859.75 = 475.16 : x
  2. Step 2: Convert to fraction form
    572.04/859.75 = 475.16/x
  3. Step 3: Cross multiply
    572.04x = 859.75 × 475.16
  4. Step 4: Simplify right side
    572.04x = 408,513.32
  5. Step 5: Solve for x
    x = 408,513.32/572.04
  6. Step 6: Final answer
    x = 714.13

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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.