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Finding the Fourth Proportional to 530.16, 732.60 and 510

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Solution

The fourth proportional to 530.16, 732.60 and 510 is: 704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.16 : 732.60 = 510 : x
  2. Step 2: Convert to fraction form
    530.16/732.60 = 510/x
  3. Step 3: Cross multiply
    530.16x = 732.60 × 510
  4. Step 4: Simplify right side
    530.16x = 373,626
  5. Step 5: Solve for x
    x = 373,626/530.16
  6. Step 6: Final answer
    x = 704.74

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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.