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Finding the Fourth Proportional to 570.02, 854.91 and 204.77

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Solution

The fourth proportional to 570.02, 854.91 and 204.77 is: 307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.02 : 854.91 = 204.77 : x
  2. Step 2: Convert to fraction form
    570.02/854.91 = 204.77/x
  3. Step 3: Cross multiply
    570.02x = 854.91 × 204.77
  4. Step 4: Simplify right side
    570.02x = 175,055.65
  5. Step 5: Solve for x
    x = 175,055.65/570.02
  6. Step 6: Final answer
    x = 307.11

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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.