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Finding the Fourth Proportional to 530.56, 730.56 and 436.96

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Solution

The fourth proportional to 530.56, 730.56 and 436.96 is: 601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.56 : 730.56 = 436.96 : x
  2. Step 2: Convert to fraction form
    530.56/730.56 = 436.96/x
  3. Step 3: Cross multiply
    530.56x = 730.56 × 436.96
  4. Step 4: Simplify right side
    530.56x = 319,225.50
  5. Step 5: Solve for x
    x = 319,225.50/530.56
  6. Step 6: Final answer
    x = 601.68

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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.