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Finding the Fourth Proportional to 530.64, 794.94 and 401.48

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Solution

The fourth proportional to 530.64, 794.94 and 401.48 is: 601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.64 : 794.94 = 401.48 : x
  2. Step 2: Convert to fraction form
    530.64/794.94 = 401.48/x
  3. Step 3: Cross multiply
    530.64x = 794.94 × 401.48
  4. Step 4: Simplify right side
    530.64x = 319,152.51
  5. Step 5: Solve for x
    x = 319,152.51/530.64
  6. Step 6: Final answer
    x = 601.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.