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Finding the Fourth Proportional to 652.99, 900.59 and 404.07

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Solution

The fourth proportional to 652.99, 900.59 and 404.07 is: 557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.99 : 900.59 = 404.07 : x
  2. Step 2: Convert to fraction form
    652.99/900.59 = 404.07/x
  3. Step 3: Cross multiply
    652.99x = 900.59 × 404.07
  4. Step 4: Simplify right side
    652.99x = 363,899.38
  5. Step 5: Solve for x
    x = 363,899.38/652.99
  6. Step 6: Final answer
    x = 557.28

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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.