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Finding the Fourth Proportional to 582.50, 803.76 and 346.46

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Solution

The fourth proportional to 582.50, 803.76 and 346.46 is: 478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.50 : 803.76 = 346.46 : x
  2. Step 2: Convert to fraction form
    582.50/803.76 = 346.46/x
  3. Step 3: Cross multiply
    582.50x = 803.76 × 346.46
  4. Step 4: Simplify right side
    582.50x = 278,466.67
  5. Step 5: Solve for x
    x = 278,466.67/582.50
  6. Step 6: Final answer
    x = 478.05

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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.