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Finding the Fourth Proportional to 572.96, 790.64 and 340

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Solution

The fourth proportional to 572.96, 790.64 and 340 is: 469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.96 : 790.64 = 340 : x
  2. Step 2: Convert to fraction form
    572.96/790.64 = 340/x
  3. Step 3: Cross multiply
    572.96x = 790.64 × 340
  4. Step 4: Simplify right side
    572.96x = 268,817.60
  5. Step 5: Solve for x
    x = 268,817.60/572.96
  6. Step 6: Final answer
    x = 469.17

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Why These Related Problems?

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