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Finding the Fourth Proportional to 652.00, 899.56 and 430.72

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Solution

The fourth proportional to 652.00, 899.56 and 430.72 is: 594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.00 : 899.56 = 430.72 : x
  2. Step 2: Convert to fraction form
    652.00/899.56 = 430.72/x
  3. Step 3: Cross multiply
    652.00x = 899.56 × 430.72
  4. Step 4: Simplify right side
    652.00x = 387,454.35
  5. Step 5: Solve for x
    x = 387,454.35/652.00
  6. Step 6: Final answer
    x = 594.26

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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.