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Finding the Fourth Proportional to 570.48, 854.70 and 407.34

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Solution

The fourth proportional to 570.48, 854.70 and 407.34 is: 610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.48 : 854.70 = 407.34 : x
  2. Step 2: Convert to fraction form
    570.48/854.70 = 407.34/x
  3. Step 3: Cross multiply
    570.48x = 854.70 × 407.34
  4. Step 4: Simplify right side
    570.48x = 348,153.50
  5. Step 5: Solve for x
    x = 348,153.50/570.48
  6. Step 6: Final answer
    x = 610.28

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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.