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Finding the Fourth Proportional to 652.90, 901.02 and 404.02

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Solution

The fourth proportional to 652.90, 901.02 and 404.02 is: 557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.90 : 901.02 = 404.02 : x
  2. Step 2: Convert to fraction form
    652.90/901.02 = 404.02/x
  3. Step 3: Cross multiply
    652.90x = 901.02 × 404.02
  4. Step 4: Simplify right side
    652.90x = 364,030.10
  5. Step 5: Solve for x
    x = 364,030.10/652.90
  6. Step 6: Final answer
    x = 557.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.