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Finding the Fourth Proportional to 530.23, 795.69 and 286.93

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Solution

The fourth proportional to 530.23, 795.69 and 286.93 is: 430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.23 : 795.69 = 286.93 : x
  2. Step 2: Convert to fraction form
    530.23/795.69 = 286.93/x
  3. Step 3: Cross multiply
    530.23x = 795.69 × 286.93
  4. Step 4: Simplify right side
    530.23x = 228,307.33
  5. Step 5: Solve for x
    x = 228,307.33/530.23
  6. Step 6: Final answer
    x = 430.58

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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.