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Finding the Fourth Proportional to 570.02, 848.01 and 544.10

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Solution

The fourth proportional to 570.02, 848.01 and 544.10 is: 809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.02 : 848.01 = 544.10 : x
  2. Step 2: Convert to fraction form
    570.02/848.01 = 544.10/x
  3. Step 3: Cross multiply
    570.02x = 848.01 × 544.10
  4. Step 4: Simplify right side
    570.02x = 461,399.52
  5. Step 5: Solve for x
    x = 461,399.52/570.02
  6. Step 6: Final answer
    x = 809.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.