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Finding the Fourth Proportional to 530.48, 730.41 and 436.93

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Solution

The fourth proportional to 530.48, 730.41 and 436.93 is: 601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.48 : 730.41 = 436.93 : x
  2. Step 2: Convert to fraction form
    530.48/730.41 = 436.93/x
  3. Step 3: Cross multiply
    530.48x = 730.41 × 436.93
  4. Step 4: Simplify right side
    530.48x = 319,138.04
  5. Step 5: Solve for x
    x = 319,138.04/530.48
  6. Step 6: Final answer
    x = 601.60

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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.