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Finding the Fourth Proportional to 572.95, 790.59 and 340.08

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Solution

The fourth proportional to 572.95, 790.59 and 340.08 is: 469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.95 : 790.59 = 340.08 : x
  2. Step 2: Convert to fraction form
    572.95/790.59 = 340.08/x
  3. Step 3: Cross multiply
    572.95x = 790.59 × 340.08
  4. Step 4: Simplify right side
    572.95x = 268,863.85
  5. Step 5: Solve for x
    x = 268,863.85/572.95
  6. Step 6: Final answer
    x = 469.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.