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Finding the Fourth Proportional to 572.42, 859.43 and 468.77

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Solution

The fourth proportional to 572.42, 859.43 and 468.77 is: 703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.42 : 859.43 = 468.77 : x
  2. Step 2: Convert to fraction form
    572.42/859.43 = 468.77/x
  3. Step 3: Cross multiply
    572.42x = 859.43 × 468.77
  4. Step 4: Simplify right side
    572.42x = 402,869.24
  5. Step 5: Solve for x
    x = 402,869.24/572.42
  6. Step 6: Final answer
    x = 703.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.